diff --git a/httpclient5-sse/src/main/java/org/apache/hc/client5/http/sse/impl/DefaultEventSource.java b/httpclient5-sse/src/main/java/org/apache/hc/client5/http/sse/impl/DefaultEventSource.java
index 0211212642..41169a7c3a 100644
--- a/httpclient5-sse/src/main/java/org/apache/hc/client5/http/sse/impl/DefaultEventSource.java
+++ b/httpclient5-sse/src/main/java/org/apache/hc/client5/http/sse/impl/DefaultEventSource.java
@@ -183,11 +183,10 @@ public DefaultEventSource(final CloseableHttpAsyncClient client,
 
         if (scheduler != null) {
             this.scheduler = scheduler;
-            this.ownScheduler = scheduler != SHARED_SCHED;
         } else {
             this.scheduler = SHARED_SCHED;
-            this.ownScheduler = false;
         }
+        this.ownScheduler = false;
 
         this.callbackExecutor = callbackExecutor != null ? callbackExecutor : Runnable::run;
 
@@ -352,6 +351,11 @@ public void completed(final Void v) {
             @Override
             public void failed(final Exception ex) {
                 connected.set(false);
+                if (ex instanceof SseResponseConsumer.StopReconnectException) {
+                    dispatch(() -> listener.onFailure(ex, false));
+                    notifyClosedOnce();
+                    return;
+                }
                 if (cancelled.get() || isBenignCancel(ex)) {
                     notifyClosedOnce();
                     return;
diff --git a/httpclient5-sse/src/test/java/org/apache/hc/client5/http/sse/impl/DefaultEventSourceTest.java b/httpclient5-sse/src/test/java/org/apache/hc/client5/http/sse/impl/DefaultEventSourceTest.java
new file mode 100644
index 0000000000..894d6d35e9
--- /dev/null
+++ b/httpclient5-sse/src/test/java/org/apache/hc/client5/http/sse/impl/DefaultEventSourceTest.java
@@ -0,0 +1,268 @@
+/*
+ * ====================================================================
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ * ====================================================================
+ *
+ * This software consists of voluntary contributions made by many
+ * individuals on behalf of the Apache Software Foundation.  For more
+ * information on the Apache Software Foundation, please see
+ * <http://www.apache.org/>.
+ *
+ */
+package org.apache.hc.client5.http.sse.impl;
+
+import static org.junit.jupiter.api.Assertions.assertFalse;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+import java.net.URI;
+import java.util.Collections;
+import java.util.List;
+import java.util.concurrent.AbstractExecutorService;
+import java.util.concurrent.Callable;
+import java.util.concurrent.CompletableFuture;
+import java.util.concurrent.CountDownLatch;
+import java.util.concurrent.Delayed;
+import java.util.concurrent.Future;
+import java.util.concurrent.ScheduledExecutorService;
+import java.util.concurrent.ScheduledFuture;
+import java.util.concurrent.TimeUnit;
+import java.util.concurrent.atomic.AtomicBoolean;
+import java.util.concurrent.atomic.AtomicInteger;
+
+import org.apache.hc.client5.http.impl.async.CloseableHttpAsyncClient;
+import org.apache.hc.client5.http.sse.EventSourceListener;
+import org.apache.hc.core5.concurrent.FutureCallback;
+import org.apache.hc.core5.function.Supplier;
+import org.apache.hc.core5.http.HttpHost;
+import org.apache.hc.core5.http.nio.AsyncPushConsumer;
+import org.apache.hc.core5.http.nio.AsyncRequestProducer;
+import org.apache.hc.core5.http.nio.AsyncResponseConsumer;
+import org.apache.hc.core5.http.nio.HandlerFactory;
+import org.apache.hc.core5.http.protocol.HttpContext;
+import org.apache.hc.core5.io.CloseMode;
+import org.apache.hc.core5.reactor.IOReactorStatus;
+import org.apache.hc.core5.util.TimeValue;
+import org.junit.jupiter.api.Test;
+
+class DefaultEventSourceTest {
+
+    @Test
+    void stopReconnectExceptionDoesNotScheduleReconnect() throws Exception {
+        final RecordingScheduler scheduler = new RecordingScheduler();
+        final CapturingClient client = new CapturingClient();
+        final CountDownLatch failure = new CountDownLatch(1);
+        final CountDownLatch closed = new CountDownLatch(1);
+
+        final EventSourceListener listener = new EventSourceListener() {
+            @Override
+            public void onFailure(final Throwable t, final boolean willReconnect) {
+                if (!willReconnect) {
+                    failure.countDown();
+                }
+            }
+
+            @Override
+            public void onClosed() {
+                closed.countDown();
+            }
+
+            @Override
+            public void onEvent(final String id, final String type, final String data) {
+            }
+        };
+
+        final DefaultEventSource es = new DefaultEventSource(
+                client,
+                URI.create("http://example.org/sse"),
+                Collections.emptyMap(),
+                listener,
+                scheduler,
+                null,
+                null,
+                SseParser.CHAR);
+
+        es.start();
+        client.lastCallback.failed(new SseResponseConsumer.StopReconnectException("Server closed stream (204)"));
+
+        assertTrue(failure.await(1, TimeUnit.SECONDS), "failure observed");
+        assertTrue(closed.await(1, TimeUnit.SECONDS), "closed observed");
+        assertTrue(scheduler.scheduledCount.get() == 0, "no reconnect scheduled");
+    }
+
+    @Test
+    void callerSchedulerIsNotShutdownOnCancel() {
+        final RecordingScheduler scheduler = new RecordingScheduler();
+        final CapturingClient client = new CapturingClient();
+
+        final DefaultEventSource es = new DefaultEventSource(
+                client,
+                URI.create("http://example.org/sse"),
+                Collections.emptyMap(),
+                (id, type, data) -> { },
+                scheduler,
+                null,
+                null,
+                SseParser.CHAR);
+
+        es.start();
+        es.cancel();
+
+        assertFalse(scheduler.shutdownCalled.get(), "caller scheduler not shutdown");
+    }
+
+    static final class CapturingClient extends CloseableHttpAsyncClient {
+        volatile FutureCallback<Void> lastCallback;
+
+        @Override
+        public void start() { }
+
+        @Override
+        public IOReactorStatus getStatus() {
+            return IOReactorStatus.ACTIVE;
+        }
+
+        @Override
+        public void awaitShutdown(final TimeValue waitTime) throws InterruptedException { }
+
+        @Override
+        public void initiateShutdown() { }
+
+        @Override
+        public void close(final CloseMode closeMode) { }
+
+        @Override
+        public void close() { }
+
+        @Override
+        protected <T> Future<T> doExecute(
+                final HttpHost target,
+                final AsyncRequestProducer requestProducer,
+                final AsyncResponseConsumer<T> responseConsumer,
+                final HandlerFactory<AsyncPushConsumer> pushHandlerFactory,
+                final HttpContext context,
+                final FutureCallback<T> callback) {
+            @SuppressWarnings("unchecked") final FutureCallback<Void> cb = (FutureCallback<Void>) callback;
+            this.lastCallback = cb;
+            return new CompletableFuture<>();
+        }
+
+        @Override
+        @Deprecated
+        public void register(final String hostname, final String uriPattern, final Supplier<AsyncPushConsumer> supplier) {
+        }
+    }
+
+    static final class RecordingScheduler extends AbstractExecutorService implements ScheduledExecutorService {
+        final AtomicBoolean shutdownCalled = new AtomicBoolean(false);
+        final AtomicBoolean shutdown = new AtomicBoolean(false);
+        final AtomicInteger scheduledCount = new AtomicInteger(0);
+
+        @Override
+        public void shutdown() {
+            shutdown.set(true);
+        }
+
+        @Override
+        public List<Runnable> shutdownNow() {
+            shutdownCalled.set(true);
+            shutdown.set(true);
+            return Collections.emptyList();
+        }
+
+        @Override
+        public boolean isShutdown() {
+            return shutdown.get();
+        }
+
+        @Override
+        public boolean isTerminated() {
+            return shutdown.get();
+        }
+
+        @Override
+        public boolean awaitTermination(final long timeout, final TimeUnit unit) {
+            return true;
+        }
+
+        @Override
+        public void execute(final Runnable command) {
+            command.run();
+        }
+
+        @Override
+        public ScheduledFuture<?> schedule(final Runnable command, final long delay, final TimeUnit unit) {
+            scheduledCount.incrementAndGet();
+            return new DummyScheduledFuture<>();
+        }
+
+        @Override
+        public <V> ScheduledFuture<V> schedule(final Callable<V> callable, final long delay, final TimeUnit unit) {
+            scheduledCount.incrementAndGet();
+            return new DummyScheduledFuture<>();
+        }
+
+        @Override
+        public ScheduledFuture<?> scheduleAtFixedRate(
+                final Runnable command, final long initialDelay, final long period, final TimeUnit unit) {
+            throw new UnsupportedOperationException("not used");
+        }
+
+        @Override
+        public ScheduledFuture<?> scheduleWithFixedDelay(
+                final Runnable command, final long initialDelay, final long delay, final TimeUnit unit) {
+            throw new UnsupportedOperationException("not used");
+        }
+    }
+
+    static final class DummyScheduledFuture<V> implements ScheduledFuture<V> {
+        @Override
+        public long getDelay(final TimeUnit unit) {
+            return 0;
+        }
+
+        @Override
+        public int compareTo(final Delayed o) {
+            return 0;
+        }
+
+        @Override
+        public boolean cancel(final boolean mayInterruptIfRunning) {
+            return false;
+        }
+
+        @Override
+        public boolean isCancelled() {
+            return false;
+        }
+
+        @Override
+        public boolean isDone() {
+            return false;
+        }
+
+        @Override
+        public V get() {
+            return null;
+        }
+
+        @Override
+        public V get(final long timeout, final TimeUnit unit) {
+            return null;
+        }
+    }
+}