diff --git a/native/chat/multimedia-message.react.js b/native/chat/multimedia-message.react.js
--- a/native/chat/multimedia-message.react.js
+++ b/native/chat/multimedia-message.react.js
@@ -242,10 +242,11 @@
       props.item.threadInfo,
       props.item.messageInfo,
     );
-    const canTogglePins = threadHasPermission(
-      props.item.threadInfo,
-      threadPermissions.MANAGE_PINS,
-    );
+    const canTogglePins =
+      threadHasPermission(
+        props.item.threadInfo,
+        threadPermissions.MANAGE_PINS,
+      ) && props.item.threadInfo.sourceMessageID !== props.item.messageInfo.id;
 
     return (
       <MultimediaMessage
diff --git a/native/chat/text-message.react.js b/native/chat/text-message.react.js
--- a/native/chat/text-message.react.js
+++ b/native/chat/text-message.react.js
@@ -291,10 +291,11 @@
       useCanEditMessageNative(props.item.threadInfo, props.item.messageInfo) &&
       !isThisMessageEdited;
 
-    const canTogglePins = threadHasPermission(
-      props.item.threadInfo,
-      threadPermissions.MANAGE_PINS,
-    );
+    const canTogglePins =
+      threadHasPermission(
+        props.item.threadInfo,
+        threadPermissions.MANAGE_PINS,
+      ) && props.item.threadInfo.sourceMessageID !== props.item.messageInfo.id;
 
     React.useEffect(() => clearMarkdownContextData, [clearMarkdownContextData]);
 
diff --git a/web/utils/tooltip-action-utils.js b/web/utils/tooltip-action-utils.js
--- a/web/utils/tooltip-action-utils.js
+++ b/web/utils/tooltip-action-utils.js
@@ -276,7 +276,8 @@
 
   const canTogglePin =
     !isInvalidPinSource(messageInfo) &&
-    threadHasPermission(threadInfo, threadPermissions.MANAGE_PINS);
+    threadHasPermission(threadInfo, threadPermissions.MANAGE_PINS) &&
+    threadInfo.sourceMessageID !== item.messageInfo.id;
 
   const inputState = React.useContext(InputStateContext);