diff --git a/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala b/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
index c92b6dc96c8eb..6f1fd25764544 100644
--- a/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
+++ b/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
@@ -141,6 +141,22 @@ class TaskSetManagerSuite extends FunSuite with LocalSparkContext with Logging {
     assert(sched.finishedManagers.contains(manager))
   }
 
+  test("skip unsatisfiable locality levels") {
+    sc = new SparkContext("local", "test")
+    val sched = new FakeTaskScheduler(sc, ("execA", "host1"), ("execC", "host2"))
+    val taskSet = FakeTask.createTaskSet(1, Seq(TaskLocation("host1", "execB")))
+    val clock = new FakeClock
+    val manager = new TaskSetManager(sched, taskSet, MAX_TASK_FAILURES, clock)
+
+    // An executor that is not NODE_LOCAL should be rejected.
+    assert(manager.resourceOffer("execC", "host2", ANY) === None)
+
+    // Because there are no alive PROCESS_LOCAL executors, the base locality level should be
+    // NODE_LOCAL. So, we should schedule the task on this offered NODE_LOCAL executor before
+    // any of the locality wait timers expire.
+    assert(manager.resourceOffer("execA", "host1", ANY).get.index === 0)
+  }
+
   test("basic delay scheduling") {
     sc = new SparkContext("local", "test")
     val sched = new FakeTaskScheduler(sc, ("exec1", "host1"), ("exec2", "host2"))