diff --git a/src/client.ts b/src/client.ts
index ac082a5e1..c1787c2ff 100644
--- a/src/client.ts
+++ b/src/client.ts
@@ -1026,9 +1026,9 @@ export class OpenAI {
       }
     }
 
-    // If the API asks us to wait a certain amount of time, just do what it
-    // says, but otherwise calculate a default
-    if (timeoutMillis === undefined) {
+    // If the API asks us to wait a certain amount of time (capped at 60 seconds),
+    // just do what it says, but otherwise calculate a default
+    if (!(timeoutMillis && 0 <= timeoutMillis && timeoutMillis <= 60 * 1000)) {
       const maxRetries = options.maxRetries ?? this.maxRetries;
       timeoutMillis = this.calculateDefaultRetryTimeoutMillis(retriesRemaining, maxRetries);
     }
diff --git a/tests/index.test.ts b/tests/index.test.ts
index 028eccb17..fde6ee532 100644
--- a/tests/index.test.ts
+++ b/tests/index.test.ts
@@ -885,6 +885,47 @@ describe('retries', () => {
     expect(count).toEqual(3);
   });
 
+  test.each([
+    ['Retry-After', '60'],
+    ['Retry-After-Ms', '60000'],
+  ])('retry on 429 honors %s at the 60-second cap', async (headerName, headerValue) => {
+    jest.useFakeTimers();
+    try {
+      let count = 0;
+      const testFetch = async (
+        url: string | URL | Request,
+        { signal }: RequestInit = {},
+      ): Promise<Response> => {
+        if (count++ === 0) {
+          return new Response(undefined, {
+            status: 429,
+            headers: {
+              [headerName]: headerValue,
+            },
+          });
+        }
+        return new Response(JSON.stringify({ a: 1 }), {
+          headers: { 'Content-Type': 'application/json' },
+        });
+      };
+
+      const client = new OpenAI({
+        apiKey: 'My API Key',
+        adminAPIKey: 'My Admin API Key',
+        fetch: testFetch,
+      });
+
+      const request = client.request({ path: '/foo', method: 'get' });
+      await Promise.resolve();
+      await jest.advanceTimersByTimeAsync(60 * 1000);
+
+      await expect(request).resolves.toEqual({ a: 1 });
+      expect(count).toEqual(2);
+    } finally {
+      jest.useRealTimers();
+    }
+  });
+
   describe('auth', () => {
     test('apiKey', async () => {
       const client = new OpenAI({