diff --git a/ts/services/calling.ts b/ts/services/calling.ts
index 3b8a85696715..6c4e0038c6d1 100644
--- a/ts/services/calling.ts
+++ b/ts/services/calling.ts
@@ -6,7 +6,6 @@ import { ipcRenderer } from 'electron';
 import type {
   AudioDevice,
   CallId,
-  CallMessageUrgency,
   DeviceId,
   PeekInfo,
   UserId,
@@ -18,6 +17,7 @@ import {
   BusyMessage,
   Call,
   CallingMessage,
+  CallMessageUrgency,
   CallLogLevel,
   CallState,
   CanvasVideoRenderer,
@@ -1146,6 +1146,7 @@ export class CallingClass {
     });
   }
 
+  // Used specifically to send updates about in-progress group calls, nothing else
   private async sendGroupCallUpdateMessage(
     conversationId: string,
     eraId: string
@@ -1188,7 +1189,7 @@ export class CallingClass {
             sendOptions,
             sendTarget: conversation.toSenderKeyTarget(),
             sendType: 'callingMessage',
-            urgent: false,
+            urgent: true,
           })
         ),
       sendType: 'callingMessage',
@@ -1822,6 +1823,7 @@ export class CallingClass {
     return this.handleOutgoingSignaling(userId, message, urgency);
   }
 
+  // Used to send a variety of group call messages, including the initial call message
   private async handleSendCallMessageToGroup(
     groupIdBytes: Buffer,
     data: Buffer,
@@ -1845,6 +1847,10 @@ export class CallingClass {
       urgency
     );
 
+    // If this message isn't droppable, we'll wake up recipient devices. The important one
+    //   is the first message to start the call.
+    const urgent = urgency === CallMessageUrgency.HandleImmediately;
+
     // We "fire and forget" because sending this message is non-essential.
     // We also don't sync this message.
     const { ContentHint } = Proto.UnidentifiedSenderMessage.Message;
@@ -1860,7 +1866,7 @@ export class CallingClass {
           sendTarget: conversation.toSenderKeyTarget(),
           sendType: 'callingMessage',
           timestamp,
-          urgent: false,
+          urgent,
         }),
         { messageIds: [], sendType: 'callingMessage' }
       )
@@ -1966,6 +1972,7 @@ export class CallingClass {
     }
   }
 
+  // Used for all 1:1 call messages, including the initial message to start the call
   private async handleOutgoingSignaling(
     remoteUserId: UserId,
     message: CallingMessage,
@@ -1981,12 +1988,18 @@ export class CallingClass {
       return false;
     }
 
+    // We want 1:1 call initiate messages to wake up recipient devices, but not others
+    const urgent =
+      urgency === CallMessageUrgency.HandleImmediately ||
+      Boolean(message.offer);
+
     try {
       assertDev(isAciString(remoteUserId), 'remoteUserId is not a aci');
       const result = await handleMessageSend(
         window.textsecure.messaging.sendCallingMessage(
           remoteUserId,
           callingMessageToProto(message, urgency),
+          urgent,
           sendOptions
         ),
         { messageIds: [], sendType: 'callingMessage' }
diff --git a/ts/textsecure/SendMessage.ts b/ts/textsecure/SendMessage.ts
index 27f40b4bea9d..b57d79bcac54 100644
--- a/ts/textsecure/SendMessage.ts
+++ b/ts/textsecure/SendMessage.ts
@@ -1702,6 +1702,7 @@ export default class MessageSender {
   async sendCallingMessage(
     serviceId: ServiceIdString,
     callingMessage: Readonly<Proto.ICallingMessage>,
+    urgent: boolean,
     options?: Readonly<SendOptionsType>
   ): Promise<CallbackResultType> {
     const recipients = [serviceId];
@@ -1727,7 +1728,7 @@ export default class MessageSender {
       contentHint: ContentHint.DEFAULT,
       groupId: undefined,
       options,
-      urgent: true,
+      urgent,
     });
   }