diff --git a/spring-context/src/main/java/org/springframework/scheduling/concurrent/ConcurrentTaskExecutor.java b/spring-context/src/main/java/org/springframework/scheduling/concurrent/ConcurrentTaskExecutor.java
index 4fb6541d69a..b4eae437c2b 100644
--- a/spring-context/src/main/java/org/springframework/scheduling/concurrent/ConcurrentTaskExecutor.java
+++ b/spring-context/src/main/java/org/springframework/scheduling/concurrent/ConcurrentTaskExecutor.java
@@ -143,11 +143,6 @@ public class ConcurrentTaskExecutor implements AsyncListenableTaskExecutor, Sche
 	 * execution callback (which may be a wrapper around the user-supplied task).
 	 * <p>The primary use case is to set some execution context around the task's
 	 * invocation, or to provide some monitoring/statistics for task execution.
-	 * <p><b>NOTE:</b> Exception handling in {@code TaskDecorator} implementations
-	 * is limited to plain {@code Runnable} execution via {@code execute} calls.
-	 * In case of {@code #submit} calls, the exposed {@code Runnable} will be a
-	 * {@code FutureTask} which does not propagate any exceptions; you might
-	 * have to cast it and call {@code Future#get} to evaluate exceptions.
 	 * @since 4.3
 	 */
 	public final void setTaskDecorator(TaskDecorator taskDecorator) {
@@ -188,11 +183,10 @@ public class ConcurrentTaskExecutor implements AsyncListenableTaskExecutor, Sche
 	}
 
 
-	private TaskExecutorAdapter getAdaptedExecutor(Executor concurrentExecutor) {
-		if (managedExecutorServiceClass != null && managedExecutorServiceClass.isInstance(concurrentExecutor)) {
-			return new ManagedTaskExecutorAdapter(concurrentExecutor);
-		}
-		TaskExecutorAdapter adapter = new TaskExecutorAdapter(concurrentExecutor);
+	private TaskExecutorAdapter getAdaptedExecutor(Executor originalExecutor) {
+		TaskExecutorAdapter adapter =
+				(managedExecutorServiceClass != null && managedExecutorServiceClass.isInstance(originalExecutor) ?
+						new ManagedTaskExecutorAdapter(originalExecutor) : new TaskExecutorAdapter(originalExecutor));
 		if (this.taskDecorator != null) {
 			adapter.setTaskDecorator(this.taskDecorator);
 		}
diff --git a/spring-context/src/test/java/org/springframework/scheduling/concurrent/ConcurrentTaskExecutorTests.java b/spring-context/src/test/java/org/springframework/scheduling/concurrent/ConcurrentTaskExecutorTests.java
index 4347a92b02f..7b011c9eb67 100644
--- a/spring-context/src/test/java/org/springframework/scheduling/concurrent/ConcurrentTaskExecutorTests.java
+++ b/spring-context/src/test/java/org/springframework/scheduling/concurrent/ConcurrentTaskExecutorTests.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2002-2023 the original author or authors.
+ * Copyright 2002-2024 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -17,8 +17,8 @@
 package org.springframework.scheduling.concurrent;
 
 import java.util.concurrent.Executor;
+import java.util.concurrent.Future;
 import java.util.concurrent.LinkedBlockingQueue;
-import java.util.concurrent.RunnableFuture;
 import java.util.concurrent.ThreadPoolExecutor;
 import java.util.concurrent.TimeUnit;
 
@@ -52,8 +52,8 @@ class ConcurrentTaskExecutorTests extends AbstractSchedulingTaskExecutorTests {
 	@AfterEach
 	void shutdownExecutor() {
 		for (Runnable task : concurrentExecutor.shutdownNow()) {
-			if (task instanceof RunnableFuture) {
-				((RunnableFuture<?>) task).cancel(true);
+			if (task instanceof Future) {
+				((Future<?>) task).cancel(true);
 			}
 		}
 	}