diff --git a/core/src/main/scala/org/apache/spark/api/python/PythonRunner.scala b/core/src/main/scala/org/apache/spark/api/python/PythonRunner.scala
index 66e204fee44b9..296d270a2fafc 100644
--- a/core/src/main/scala/org/apache/spark/api/python/PythonRunner.scala
+++ b/core/src/main/scala/org/apache/spark/api/python/PythonRunner.scala
@@ -325,10 +325,10 @@ private[spark] abstract class BasePythonRunner[IN, OUT](
       // SPARK-35009: avoid creating multiple monitor threads for the same python worker
       // and task context
       if (PythonRunner.runningMonitorThreads.add(key)) {
-        new MonitorThread(SparkEnv.get, worker, context).start()
+        new MonitorThread(SparkEnv.get, worker, context, releasedOrClosed).start()
       }
     } else {
-      new MonitorThread(SparkEnv.get, worker, context).start()
+      new MonitorThread(SparkEnv.get, worker, context, releasedOrClosed).start()
     }
 
     // Return an iterator that read lines from the process's stdout
@@ -685,7 +685,11 @@ private[spark] abstract class BasePythonRunner[IN, OUT](
    * interrupts disabled. In that case we will need to explicitly kill the worker, otherwise the
    * threads can block indefinitely.
    */
-  class MonitorThread(env: SparkEnv, worker: PythonWorker, context: TaskContext)
+  class MonitorThread(
+      env: SparkEnv,
+      worker: PythonWorker,
+      context: TaskContext,
+      releasedOrClosed: AtomicBoolean)
     extends Thread(s"Worker Monitor for $pythonExec") {
 
     /** How long to wait before killing the python worker if a task cannot be interrupted. */
@@ -701,7 +705,7 @@ private[spark] abstract class BasePythonRunner[IN, OUT](
       }
       if (!context.isCompleted()) {
         Thread.sleep(taskKillTimeout)
-        if (!context.isCompleted()) {
+        if (!context.isCompleted() && releasedOrClosed.compareAndSet(false, true)) {
           try {
             // Mimic the task name used in `Executor` to help the user find out the task to blame.
             val taskName = s"${context.partitionId()}.${context.attemptNumber()} " +