diff --git a/stylesheets/components/ConversationHeader.scss b/stylesheets/components/ConversationHeader.scss
index 8ca264c89fe8..85f3f8ad9884 100644
--- a/stylesheets/components/ConversationHeader.scss
+++ b/stylesheets/components/ConversationHeader.scss
@@ -33,6 +33,15 @@
   }
 
   -webkit-app-region: var(--draggable-app-region);
+
+  // In Electron v23+, clicking on a `drag` region in an unfocused window may not
+  // propagate clicks to no-drag elements that have a higher CSS order; this avoids that
+  // scenario for interactive elements (e.g. IncomingCallBar) which overlap the
+  // conversation header.
+  @at-root body:not(.window-focused) & {
+    -webkit-app-region: no-drag;
+  }
+
   padding-top: var(--title-bar-drag-area-height);
   display: flex;
   flex-direction: row;
diff --git a/ts/background.ts b/ts/background.ts
index 5c92a0b30c9a..f52e8b5eadf3 100644
--- a/ts/background.ts
+++ b/ts/background.ts
@@ -837,6 +837,14 @@ export async function startApp(): Promise<void> {
       );
     });
 
+    window.document.body.classList.add('window-focused');
+    window.addEventListener('focus', () => {
+      window.document.body.classList.add('window-focused');
+    });
+    window.addEventListener('blur', () =>
+      window.document.body.classList.remove('window-focused')
+    );
+
     // How long since we were last running?
     const lastHeartbeat = toDayMillis(window.storage.get('lastHeartbeat', 0));
     const previousLastStartup = window.storage.get('lastStartup');