diff --git a/core/src/main/scala/org/apache/spark/util/Utils.scala b/core/src/main/scala/org/apache/spark/util/Utils.scala
index e5b83c069d96130b7b70416fb1efea20599ef45d..b3025c6ec3364a5a1c94a575f1aae67bd9855453 100644
--- a/core/src/main/scala/org/apache/spark/util/Utils.scala
+++ b/core/src/main/scala/org/apache/spark/util/Utils.scala
@@ -1439,7 +1439,7 @@ private[spark] object Utils extends Logging {
     val serviceString = if (serviceName.isEmpty) "" else s" '$serviceName'"
     for (offset <- 0 to maxRetries) {
       // Do not increment port if startPort is 0, which is treated as a special port
-      val tryPort = if (startPort == 0) startPort else (startPort + offset) % (65536 - 1024) + 1024
+      val tryPort = if (startPort == 0) startPort else (startPort + offset) % 65536
       try {
         val (service, port) = startService(tryPort)
         logInfo(s"Successfully started service$serviceString on port $port.")