diff --git a/packages/aws-cdk-lib/aws-lambda/lib/event-source-mapping.ts b/packages/aws-cdk-lib/aws-lambda/lib/event-source-mapping.ts
index c1672b21d58d7..38c7865dc70a8 100644
--- a/packages/aws-cdk-lib/aws-lambda/lib/event-source-mapping.ts
+++ b/packages/aws-cdk-lib/aws-lambda/lib/event-source-mapping.ts
@@ -345,7 +345,7 @@ export class EventSourceMapping extends cdk.Resource implements IEventSourceMapp
       throw new Error(`maxBatchingWindow cannot be over 300 seconds, got ${props.maxBatchingWindow.toSeconds()}`);
     }
 
-    if (props.maxConcurrency && (props.maxConcurrency < 2 || props.maxConcurrency > 1000)) {
+    if (props.maxConcurrency && !cdk.Token.isUnresolved(props.maxConcurrency) && (props.maxConcurrency < 2 || props.maxConcurrency > 1000)) {
       throw new Error('maxConcurrency must be between 2 and 1000 concurrent instances');
     }
 
diff --git a/packages/aws-cdk-lib/aws-lambda/test/event-source-mapping.test.ts b/packages/aws-cdk-lib/aws-lambda/test/event-source-mapping.test.ts
index 2a5e15046bfd6..8182a15406db7 100644
--- a/packages/aws-cdk-lib/aws-lambda/test/event-source-mapping.test.ts
+++ b/packages/aws-cdk-lib/aws-lambda/test/event-source-mapping.test.ts
@@ -60,6 +60,14 @@ describe('event source mapping', () => {
     })).toThrow(/maxConcurrency must be between 2 and 1000 concurrent instances/);
   });
 
+  test('does not throw if maxConcurrency is a token', () => {
+    expect(() => new EventSourceMapping(stack, 'test', {
+      target: fn,
+      eventSourceArn: '',
+      maxConcurrency: cdk.Token.asNumber({ Ref: 'abc' }),
+    })).not.toThrow();
+  });
+
   test('maxConcurrency appears in stack', () => {
     new EventSourceMapping(stack, 'test', {
       target: fn,