diff --git a/client.go b/client.go
index f40d241..d89434f 100644
--- a/client.go
+++ b/client.go
@@ -512,7 +512,11 @@ func DefaultBackoff(min, max time.Duration, attemptNum int, resp *http.Response)
 		if resp.StatusCode == http.StatusTooManyRequests || resp.StatusCode == http.StatusServiceUnavailable {
 			if s, ok := resp.Header["Retry-After"]; ok {
 				if sleep, err := strconv.ParseInt(s[0], 10, 64); err == nil {
-					return time.Second * time.Duration(sleep)
+					sleepDuration := time.Second * time.Duration(sleep)
+					if sleepDuration < max {
+						return sleepDuration
+					}
+					return max
 				}
 			}
 		}