diff --git a/src/Microsoft.DotNet.ProjectJsonMigration/Rules/MigratePackageDependenciesAndToolsRule.cs b/src/Microsoft.DotNet.ProjectJsonMigration/Rules/MigratePackageDependenciesAndToolsRule.cs
index d13f56ec1..cff6fc91a 100644
--- a/src/Microsoft.DotNet.ProjectJsonMigration/Rules/MigratePackageDependenciesAndToolsRule.cs
+++ b/src/Microsoft.DotNet.ProjectJsonMigration/Rules/MigratePackageDependenciesAndToolsRule.cs
@@ -59,8 +59,11 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Rules
             foreach (var targetFramework in targetFrameworks)
             {
                 MigrationTrace.Instance.WriteLine(String.Format(LocalizableStrings.MigratingFramework, targetFramework.FrameworkName.GetShortFolderName()));
-                
-                MigrateImports(migrationRuleInputs.CommonPropertyGroup, targetFramework);
+
+                MigrateImports(
+                    migrationRuleInputs.CommonPropertyGroup,
+                    targetFramework,
+                    migrationRuleInputs.ProjectContexts.Count() > 1);
 
                 MigrateDependencies(
                     project,
@@ -161,13 +164,14 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Rules
 
         private void MigrateImports(
             ProjectPropertyGroupElement commonPropertyGroup,
-            TargetFrameworkInformation targetFramework)
+            TargetFrameworkInformation targetFramework,
+            bool isMultiTFM)
         {
             var transform = ImportsTransformation.Transform(targetFramework);
 
             if (transform != null)
             {
-                transform.Condition = targetFramework.FrameworkName.GetMSBuildCondition();
+                transform.Condition = isMultiTFM ? targetFramework.FrameworkName.GetMSBuildCondition() : null;
                 _transformApplicator.Execute(transform, commonPropertyGroup, mergeExisting: true);
             }
             else
diff --git a/test/Microsoft.DotNet.ProjectJsonMigration.Tests/Rules/GivenThatIWantToMigratePackageDependencies.cs b/test/Microsoft.DotNet.ProjectJsonMigration.Tests/Rules/GivenThatIWantToMigratePackageDependencies.cs
index dcffe1214..722cd7e14 100644
--- a/test/Microsoft.DotNet.ProjectJsonMigration.Tests/Rules/GivenThatIWantToMigratePackageDependencies.cs
+++ b/test/Microsoft.DotNet.ProjectJsonMigration.Tests/Rules/GivenThatIWantToMigratePackageDependencies.cs
@@ -15,7 +15,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
     public class GivenThatIWantToMigratePackageDependencies : PackageDependenciesTestBase
     {
         [Fact]
-        public void It_migrates_basic_PackageReference()
+        public void ItMigratesBasicPackageReference()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -29,7 +29,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_type_build_to_PrivateAssets()
+        public void ItMigratesTypeBuildToPrivateAssets()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -50,7 +50,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_suppress_parent_array_to_PrivateAssets()
+        public void ItMigratesSuppressParentArrayToPrivateAssets()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -69,7 +69,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_suppress_parent_string_to_PrivateAssets()
+        public void ItMigratesSuppressParentStringToPrivateAssets()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -88,7 +88,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_include_exclude_arrays_to_IncludeAssets()
+        public void ItMigratesIncludeExcludeArraysToIncludeAssets()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -108,7 +108,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_include_string_to_IncludeAssets()
+        public void ItMigratesIncludeStringToIncludeAssets()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -128,7 +128,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_include_exclude_overlapping_strings_to_IncludeAssets()
+        public void ItMigratesIncludeExcludeOverlappingStringsToIncludeAssets()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -149,7 +149,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
 
 
         [Fact]
-        public void It_migrates_Tools()
+        public void ItMigratesTools()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -163,7 +163,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_imports_per_framework()
+        public void ItMigratesImportsPerFramework()
         {
             var importPropertyName = "PackageTargetFallback";
 
@@ -201,7 +201,27 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_auto_add_desktop_references_during_migrate()
+        public void ItDoesNotConditionToPackageTargetFallBackWhenMigratingASingleTFM()
+        {
+            var importPropertyName = "PackageTargetFallback";
+
+            var mockProj = RunPackageDependenciesRuleOnPj(@"                
+                {
+                    ""frameworks"": {
+                        ""netcoreapp1.0"" : {
+                            ""imports"": [""netstandard1.3"", ""net451""]
+                        }
+                    }
+                }");
+
+            var imports = mockProj.Properties.Where(p => p.Name == importPropertyName);
+            imports.Should().HaveCount(1);
+
+            imports.Single().Condition.Should().BeEmpty();
+        }
+
+        [Fact]
+        public void ItAutoAddDesktopReferencesDuringMigrate()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"                
                 {
@@ -234,7 +254,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_test_projects_to_have_test_sdk()
+        public void ItMigratesTestProjectsToHaveTestSdk()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"
                 {
@@ -267,7 +287,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_test_projects_to_have_test_sdk_and_xunit_packagedependencies()
+        public void ItMigratesTestProjectsToHaveTestSdkAndXunitPackagedependencies()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"
                 {
@@ -306,7 +326,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_test_projects_to_have_test_sdk_and_xunit_packagedependencies_overwrite_existing_packagedependencies()
+        public void ItMigratesTestProjectsToHaveTestSdkAndXunitPackagedependenciesOverwriteExistingPackagedependencies()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"
                 {
@@ -348,7 +368,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
         }
 
         [Fact]
-        public void It_migrates_test_projects_to_have_test_sdk_and_mstest_packagedependencies()
+        public void ItMigratesTestProjectsToHaveTestSdkAndMstestPackagedependencies()
         {
             var mockProj = RunPackageDependenciesRuleOnPj(@"
                 {
@@ -408,7 +428,7 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
                 }
               }
             }")]
-        public void It_migrates_library_and_does_not_double_netstandard_ref(string pjContent)
+        public void ItMigratesLibraryAndDoesNotDoubleNetstandardRef(string pjContent)
         {
             var mockProj = RunPackageDependenciesRuleOnPj(pjContent);
 
diff --git a/test/Microsoft.DotNet.ProjectJsonMigration.Tests/TemporaryProjectFileRuleRunner.cs b/test/Microsoft.DotNet.ProjectJsonMigration.Tests/TemporaryProjectFileRuleRunner.cs
index f223ffe68..f574e26a6 100644
--- a/test/Microsoft.DotNet.ProjectJsonMigration.Tests/TemporaryProjectFileRuleRunner.cs
+++ b/test/Microsoft.DotNet.ProjectJsonMigration.Tests/TemporaryProjectFileRuleRunner.cs
@@ -1,4 +1,5 @@
 using System.Collections.Generic;
+using System.Linq;
 using Microsoft.Build.Construction;
 using Microsoft.DotNet.ProjectJsonMigration.Rules;
 using Microsoft.DotNet.Internal.ProjectModel;
@@ -8,28 +9,48 @@ namespace Microsoft.DotNet.ProjectJsonMigration.Tests
 {
     internal class TemporaryProjectFileRuleRunner
     {
-        public static ProjectRootElement RunRules(IEnumerable<IMigrationRule> rules, string projectJson,
-            string testDirectory, ProjectRootElement xproj=null)
+        public static ProjectRootElement RunRules(
+            IEnumerable<IMigrationRule> rules,
+            string projectJson,
+            string testDirectory,
+            ProjectRootElement xproj=null)
         {
-            var projectContext = GenerateProjectContextFromString(testDirectory, projectJson);
-            return RunMigrationRulesOnGeneratedProject(rules, projectContext, testDirectory, xproj);
+            var projectContexts = GenerateProjectContextsFromString(testDirectory, projectJson);
+            return RunMigrationRulesOnGeneratedProject(rules, projectContexts, testDirectory, xproj);
         }
 
-        private static ProjectContext GenerateProjectContextFromString(string projectDirectory, string json)
+        private static IEnumerable<ProjectContext> GenerateProjectContextsFromString(
+            string projectDirectory,
+            string json)
         {
             var testPj = new ProjectJsonBuilder(null)
                 .FromStringBase(json)
                 .SaveToDisk(projectDirectory);
 
-            return ProjectContext.Create(testPj, FrameworkConstants.CommonFrameworks.NetCoreApp10);
+            var projectContexts = ProjectContext.CreateContextForEachFramework(projectDirectory);
+
+            if (projectContexts.Count() == 0)
+            {
+                projectContexts = new []
+                { 
+                    ProjectContext.Create(testPj, FrameworkConstants.CommonFrameworks.NetCoreApp10)
+                };
+            }
+
+            return projectContexts;
         }
 
-        private static ProjectRootElement RunMigrationRulesOnGeneratedProject(IEnumerable<IMigrationRule> rules,
-            ProjectContext projectContext, string testDirectory, ProjectRootElement xproj)
+        private static ProjectRootElement RunMigrationRulesOnGeneratedProject(
+            IEnumerable<IMigrationRule> rules,
+            IEnumerable<ProjectContext> projectContexts,
+            string testDirectory,
+            ProjectRootElement xproj)
         {
             var project = ProjectRootElement.Create();
             var testSettings = MigrationSettings.CreateMigrationSettingsTestHook(testDirectory, testDirectory, project);
-            var testInputs = new MigrationRuleInputs(new[] {projectContext}, project,
+            var testInputs = new MigrationRuleInputs(
+                projectContexts,
+                project,
                 project.AddItemGroup(),
                 project.AddPropertyGroup(),
                 xproj);