diff --git a/src/classes/queue.ts b/src/classes/queue.ts
index d9d51c073f..89b233335e 100644
--- a/src/classes/queue.ts
+++ b/src/classes/queue.ts
@@ -465,6 +465,15 @@ export class Queue<
    *
    * @returns The next job to be scheduled (would normally be in delayed state).
    */
+  async upsertJobScheduler(
+    jobSchedulerId: string,
+    repeatOpts: Omit<RepeatOptions, 'key'>,
+    jobTemplate: {
+      name: NameType;
+      data?: DataType;
+      opts?: JobSchedulerTemplateOptions;
+    },
+  ): Promise<Job<DataType, ResultType, NameType> | undefined>;
   async upsertJobScheduler(
     jobSchedulerId: NameType,
     repeatOpts: Omit<RepeatOptions, 'key'>,
@@ -473,6 +482,15 @@ export class Queue<
       data?: DataType;
       opts?: JobSchedulerTemplateOptions;
     },
+  ): Promise<Job<DataType, ResultType, NameType> | undefined>;
+  async upsertJobScheduler(
+    jobSchedulerId: string,
+    repeatOpts: Omit<RepeatOptions, 'key'>,
+    jobTemplate?: {
+      name?: NameType;
+      data?: DataType;
+      opts?: JobSchedulerTemplateOptions;
+    },
   ) {
     if (repeatOpts.endDate) {
       if (+new Date(repeatOpts.endDate) < Date.now()) {
@@ -487,7 +505,7 @@ export class Queue<
     >(
       jobSchedulerId,
       repeatOpts,
-      jobTemplate?.name ?? jobSchedulerId,
+      jobTemplate?.name ?? (jobSchedulerId as NameType),
       jobTemplate?.data ?? <DataType>{},
       { ...this.jobsOpts, ...jobTemplate?.opts },
       { override: true },
diff --git a/tests/test_issue_3937.test.ts b/tests/test_issue_3937.test.ts
new file mode 100644
index 0000000000..55f8904c8d
--- /dev/null
+++ b/tests/test_issue_3937.test.ts
@@ -0,0 +1,24 @@
+import { Queue } from '../src/classes/queue';
+
+type JobName = 'generate-report' | 'send-email';
+
+interface JobData {
+  accountId: string;
+}
+
+const queue = new Queue<JobData, void, JobName>('issue-3937');
+const dynamicId = String('inst_12345');
+
+// Scheduler IDs must accept dynamic strings independently of the job name type.
+queue.upsertJobScheduler(
+  dynamicId,
+  {
+    every: 60_000,
+  },
+  {
+    name: 'generate-report',
+    data: {
+      accountId: 'acct_12345',
+    },
+  },
+);