diff --git a/server/src/main/java/org/elasticsearch/common/util/concurrent/AbstractAsyncTask.java b/server/src/main/java/org/elasticsearch/common/util/concurrent/AbstractAsyncTask.java
index 3c1716cda15..1ef9a484a27 100644
--- a/server/src/main/java/org/elasticsearch/common/util/concurrent/AbstractAsyncTask.java
+++ b/server/src/main/java/org/elasticsearch/common/util/concurrent/AbstractAsyncTask.java
@@ -134,6 +134,9 @@ public abstract class AbstractAsyncTask implements Runnable, Closeable {
     @Override
     public final void run() {
         synchronized (this) {
+            if (isClosed()) {
+                return;
+            }
             cancellable = null;
             isScheduledOrRunning = autoReschedule;
         }
diff --git a/server/src/test/java/org/elasticsearch/common/util/concurrent/AbstractAsyncTaskTests.java b/server/src/test/java/org/elasticsearch/common/util/concurrent/AbstractAsyncTaskTests.java
index 3a1cab90f0d..10eec2c13d3 100644
--- a/server/src/test/java/org/elasticsearch/common/util/concurrent/AbstractAsyncTaskTests.java
+++ b/server/src/test/java/org/elasticsearch/common/util/concurrent/AbstractAsyncTaskTests.java
@@ -18,18 +18,23 @@
  */
 package org.elasticsearch.common.util.concurrent;
 
+import org.elasticsearch.common.Randomness;
 import org.elasticsearch.common.unit.TimeValue;
+import org.elasticsearch.core.internal.io.IOUtils;
 import org.elasticsearch.test.ESTestCase;
 import org.elasticsearch.threadpool.TestThreadPool;
 import org.elasticsearch.threadpool.ThreadPool;
 import org.junit.AfterClass;
 import org.junit.BeforeClass;
 
+import java.util.ArrayList;
+import java.util.List;
 import java.util.concurrent.CountDownLatch;
 import java.util.concurrent.CyclicBarrier;
 import java.util.concurrent.TimeUnit;
 import java.util.concurrent.TimeoutException;
 import java.util.concurrent.atomic.AtomicInteger;
+import java.util.concurrent.atomic.AtomicLong;
 
 public class AbstractAsyncTaskTests extends ESTestCase {
 
@@ -203,4 +208,31 @@ public class AbstractAsyncTaskTests extends ESTestCase {
         assertFalse(task.isScheduled());
         assertTrue(task.isClosed());
     }
+
+    public void testIsScheduledRemainFalseAfterClose() throws Exception {
+        int numTasks = between(10, 50);
+        List<AbstractAsyncTask> tasks = new ArrayList<>(numTasks);
+        AtomicLong counter = new AtomicLong();
+        for (int i = 0; i < numTasks; i++) {
+            AbstractAsyncTask task = new AbstractAsyncTask(logger, threadPool, TimeValue.timeValueMillis(randomIntBetween(1, 2)), true) {
+                @Override
+                protected boolean mustReschedule() {
+                    return counter.get() <= 1000;
+                }
+                @Override
+                protected void runInternal() {
+                    counter.incrementAndGet();
+                }
+            };
+            task.rescheduleIfNecessary();
+            tasks.add(task);
+        }
+        Randomness.shuffle(tasks);
+        IOUtils.close(tasks);
+        Randomness.shuffle(tasks);
+        for (AbstractAsyncTask task : tasks) {
+            assertTrue(task.isClosed());
+            assertFalse(task.isScheduled());
+        }
+    }
 }