diff --git a/docs/changelog/99320.yaml b/docs/changelog/99320.yaml
new file mode 100644
index 0000000000000..e06d5f995d1f4
--- /dev/null
+++ b/docs/changelog/99320.yaml
@@ -0,0 +1,5 @@
+pr: 99320
+summary: Do not interrupt underlying Azure repository threads during errors
+area: Snapshot/Restore
+type: bug
+issues: []
diff --git a/modules/repository-azure/src/main/java/org/elasticsearch/repositories/azure/executors/ReactorScheduledExecutorService.java b/modules/repository-azure/src/main/java/org/elasticsearch/repositories/azure/executors/ReactorScheduledExecutorService.java
index a3359e07119b5..f621cfe3e979e 100644
--- a/modules/repository-azure/src/main/java/org/elasticsearch/repositories/azure/executors/ReactorScheduledExecutorService.java
+++ b/modules/repository-azure/src/main/java/org/elasticsearch/repositories/azure/executors/ReactorScheduledExecutorService.java
@@ -21,10 +21,13 @@
 import java.util.concurrent.AbstractExecutorService;
 import java.util.concurrent.Callable;
 import java.util.concurrent.Delayed;
+import java.util.concurrent.ExecutionException;
 import java.util.concurrent.ExecutorService;
+import java.util.concurrent.RunnableFuture;
 import java.util.concurrent.ScheduledExecutorService;
 import java.util.concurrent.ScheduledFuture;
 import java.util.concurrent.TimeUnit;
+import java.util.concurrent.TimeoutException;
 
 import static org.elasticsearch.core.Strings.format;
 
@@ -122,6 +125,16 @@ public void execute(Runnable command) {
         delegate.execute(decorateRunnable(command));
     }
 
+    @Override
+    protected <T> RunnableFuture<T> newTaskFor(Runnable runnable, T value) {
+        return new UninterruptibleFuture<>(super.newTaskFor(runnable, value));
+    }
+
+    @Override
+    protected <T> RunnableFuture<T> newTaskFor(Callable<T> callable) {
+        return new UninterruptibleFuture<>(super.newTaskFor(callable));
+    }
+
     protected Runnable decorateRunnable(Runnable command) {
         return command;
     }
@@ -172,4 +185,45 @@ public V get(long timeout, TimeUnit unit) {
             throw new UnsupportedOperationException();
         }
     }
+
+    @SuppressForbidden(reason = "It wraps a Future to avoid interrupting threads")
+    private static final class UninterruptibleFuture<V> implements RunnableFuture<V> {
+        private final RunnableFuture<V> delegate;
+
+        UninterruptibleFuture(RunnableFuture<V> delegate) {
+            this.delegate = delegate;
+        }
+
+        @Override
+        public void run() {
+            delegate.run();
+        }
+
+        @Override
+        public boolean cancel(boolean mayInterruptIfRunning) {
+            // Ensure that the thread is never interrupted
+            return delegate.cancel(false);
+        }
+
+        @Override
+        public boolean isCancelled() {
+            return delegate.isCancelled();
+        }
+
+        @Override
+        public boolean isDone() {
+            return delegate.isDone();
+        }
+
+        @Override
+        public V get() throws InterruptedException, ExecutionException {
+            return delegate.get();
+        }
+
+        @Override
+        public V get(long timeout, TimeUnit unit) throws InterruptedException, ExecutionException, TimeoutException {
+            return delegate.get(timeout, unit);
+        }
+
+    }
 }
diff --git a/modules/repository-azure/src/test/java/org/elasticsearch/repositories/azure/AzureBlobContainerRetriesTests.java b/modules/repository-azure/src/test/java/org/elasticsearch/repositories/azure/AzureBlobContainerRetriesTests.java
index 4c9a3b1e69919..841a6e66e0c00 100644
--- a/modules/repository-azure/src/test/java/org/elasticsearch/repositories/azure/AzureBlobContainerRetriesTests.java
+++ b/modules/repository-azure/src/test/java/org/elasticsearch/repositories/azure/AzureBlobContainerRetriesTests.java
@@ -9,6 +9,7 @@
 
 import fixture.azure.AzureHttpHandler;
 
+import com.sun.net.httpserver.HttpExchange;
 import com.sun.net.httpserver.HttpHandler;
 
 import org.elasticsearch.common.Strings;
@@ -37,6 +38,7 @@
 import java.util.Objects;
 import java.util.Optional;
 import java.util.concurrent.ConcurrentHashMap;
+import java.util.concurrent.atomic.AtomicBoolean;
 import java.util.concurrent.atomic.AtomicInteger;
 import java.util.concurrent.atomic.AtomicLong;
 import java.util.stream.Collectors;
@@ -472,4 +474,32 @@ public void testRetryFromSecondaryLocationPolicies() throws Exception {
             assertThat(failedGetCalls.get(), equalTo(1));
         }
     }
+
+    public void testPrematureClosedConnectionDoesNotInterruptBackingThread() throws Exception {
+        final int maxRetries = 0;
+
+        final byte[] data = randomBytes(ByteSizeUnit.KB.toIntBytes(512));
+
+        httpServer.createContext("/account/container/closed_connection_blob", HttpExchange::close);
+
+        final BlobContainer blobContainer = createBlobContainer(maxRetries);
+
+        var interruptedThread = new AtomicBoolean();
+        try (InputStream stream = new InputStreamIndexInput(new ByteArrayIndexInput("desc", data), data.length) {
+            @Override
+            public int read(byte[] b, int off, int len) throws IOException {
+                try {
+                    // Ensure that the thread where the stream is read is not interrupted
+                    Thread.sleep(250);
+                } catch (InterruptedException e) {
+                    interruptedThread.set(true);
+                }
+                return super.read(b, off, len);
+            }
+        }) {
+            expectThrows(IOException.class, () -> blobContainer.writeBlob("closed_connection_blob", stream, data.length, false));
+            assertFalse(interruptedThread.get());
+        }
+    }
+
 }