diff --git a/test/types/queries.test.ts b/test/types/queries.test.ts
index 7a881947f7c..7a6550f7abf 100644
--- a/test/types/queries.test.ts
+++ b/test/types/queries.test.ts
@@ -325,5 +325,19 @@ function gh11964() {
       /* ... */
     }
   }
+}
 
+function gh12091() {
+  interface IUser{
+    friendsNames: string[];
+  }
+  const userSchema = new Schema<IUser>({
+    friendsNames: [String]
+  });
+
+  const update: UpdateQuery<IUser> = { $addToSet: { friendsNames: 'John Doe' } };
+  if (!update?.$addToSet) {
+    return;
+  }
+  update.$addToSet.friendsNames = 'Jane Doe';
 }
diff --git a/types/index.d.ts b/types/index.d.ts
index 8b7a63bbc41..4396c60baa8 100644
--- a/types/index.d.ts
+++ b/types/index.d.ts
@@ -437,6 +437,10 @@ declare module 'mongoose' {
 
   export type SortOrder = -1 | 1 | 'asc' | 'ascending' | 'desc' | 'descending';
 
+  type Mutable<T> = {
+    -readonly [K in keyof T]: T[K];
+  }
+
   type _UpdateQuery<TSchema> = {
     /** @see https://docs.mongodb.com/manual/reference/operator/update-field/ */
     $currentDate?: AnyKeys<TSchema> & AnyObject;
@@ -450,10 +454,10 @@ declare module 'mongoose' {
     $unset?: AnyKeys<TSchema> & AnyObject;
 
     /** @see https://docs.mongodb.com/manual/reference/operator/update-array/ */
-    $addToSet?: mongodb.SetFields<TSchema>;
+    $addToSet?: Mutable<mongodb.SetFields<TSchema>>;
     $pop?: AnyKeys<TSchema> & AnyObject;
-    $pull?: mongodb.PullOperator<TSchema>;
-    $push?: mongodb.PushOperator<TSchema>;
+    $pull?: Mutable<mongodb.PullOperator<TSchema>>;
+    $push?: Mutable<mongodb.PushOperator<TSchema>>;
     $pullAll?: mongodb.PullAllOperator<TSchema>;
 
     /** @see https://docs.mongodb.com/manual/reference/operator/update-bitwise/ */