diff --git a/core-common/src/main/java/org/glassfish/jersey/message/DeflateEncoder.java b/core-common/src/main/java/org/glassfish/jersey/message/DeflateEncoder.java
index ce2e4157ba..6bfe9d2e0b 100644
--- a/core-common/src/main/java/org/glassfish/jersey/message/DeflateEncoder.java
+++ b/core-common/src/main/java/org/glassfish/jersey/message/DeflateEncoder.java
@@ -31,6 +31,8 @@
 
 import javax.inject.Inject;
 
+import org.glassfish.jersey.message.internal.ClosingDeflaterOutputStream;
+import org.glassfish.jersey.message.internal.ClosingInflaterInputStream;
 import org.glassfish.jersey.spi.ContentEncoder;
 
 /**
@@ -77,7 +79,7 @@ public InputStream decode(String contentEncoding, InputStream encodedStream)
             return new InflaterInputStream(markSupportingStream);
         } else {
             // no zlib wrapper
-            return new InflaterInputStream(markSupportingStream, new Inflater(true));
+            return new ClosingInflaterInputStream(markSupportingStream, true);
         }
     }
 
@@ -98,7 +100,7 @@ public OutputStream encode(String contentEncoding, OutputStream entityStream)
         }
 
         return deflateWithoutZLib
-                ? new DeflaterOutputStream(entityStream, new Deflater(Deflater.DEFAULT_COMPRESSION, true))
+                ? new ClosingDeflaterOutputStream(entityStream, Deflater.DEFAULT_COMPRESSION, true)
                 : new DeflaterOutputStream(entityStream);
     }
 }
diff --git a/core-common/src/main/java/org/glassfish/jersey/message/internal/ClosingDeflaterOutputStream.java b/core-common/src/main/java/org/glassfish/jersey/message/internal/ClosingDeflaterOutputStream.java
new file mode 100644
index 0000000000..931ae6007f
--- /dev/null
+++ b/core-common/src/main/java/org/glassfish/jersey/message/internal/ClosingDeflaterOutputStream.java
@@ -0,0 +1,83 @@
+/*
+ * Copyright (c) 2024 Oracle and/or its affiliates. All rights reserved.
+ *
+ * This program and the accompanying materials are made available under the
+ * terms of the Eclipse Public License v. 2.0, which is available at
+ * http://www.eclipse.org/legal/epl-2.0.
+ *
+ * This Source Code may also be made available under the following Secondary
+ * Licenses when the conditions for such availability set forth in the
+ * Eclipse Public License v. 2.0 are satisfied: GNU General Public License,
+ * version 2 with the GNU Classpath Exception, which is available at
+ * https://www.gnu.org/software/classpath/license.html.
+ *
+ * SPDX-License-Identifier: EPL-2.0 OR GPL-2.0 WITH Classpath-exception-2.0
+ */
+
+package org.glassfish.jersey.message.internal;
+
+import java.io.IOException;
+import java.io.OutputStream;
+import java.util.zip.Deflater;
+import java.util.zip.DeflaterOutputStream;
+
+/**
+ * After Java 9, in the class Deflater the method finalize doesn't call end anymore
+ * The method end must be called explicitly. But when using the constructor
+ * DeflaterOutputStream(OutputStream out, Deflater def), the Deflater.end() method will
+ * not be called when closing the stream.
+ * This lead to memory leaks in the off-heap.
+ *
+ * @see java.util.zip.Deflater
+ * @see java.util.zip.DeflaterOutputStream
+ */
+public final class ClosingDeflaterOutputStream extends OutputStream {
+
+    private final Deflater deflater;
+
+    private final DeflaterOutputStream delegate;
+
+    private boolean closed = false;
+
+    public ClosingDeflaterOutputStream(OutputStream out, int level, boolean nowrap) {
+        deflater = new Deflater(level, nowrap);
+        delegate = new DeflaterOutputStream(out, deflater);
+    }
+
+    @Override
+    public void write(int b) throws IOException {
+        delegate.write(b);
+    }
+
+    @Override
+    public void write(byte[] b, int off, int len) throws IOException {
+        delegate.write(b, off, len);
+    }
+
+    public void finish() throws IOException {
+        delegate.finish();
+    }
+
+    @Override
+    public void close() throws IOException {
+        if (!closed) {
+            try {
+                delegate.close();
+            } finally {
+                deflater.end();
+            }
+            closed = true;
+        }
+    }
+
+    @Override
+    public void flush() throws IOException {
+        delegate.flush();
+    }
+
+    @Override
+    public void write(byte[] b) throws IOException {
+        delegate.write(b);
+    }
+
+}
diff --git a/core-common/src/main/java/org/glassfish/jersey/message/internal/ClosingInflaterInputStream.java b/core-common/src/main/java/org/glassfish/jersey/message/internal/ClosingInflaterInputStream.java
new file mode 100644
index 0000000000..cccdea8307
--- /dev/null
+++ b/core-common/src/main/java/org/glassfish/jersey/message/internal/ClosingInflaterInputStream.java
@@ -0,0 +1,96 @@
+/*
+ * Copyright (c) 2024 Oracle and/or its affiliates. All rights reserved.
+ *
+ * This program and the accompanying materials are made available under the
+ * terms of the Eclipse Public License v. 2.0, which is available at
+ * http://www.eclipse.org/legal/epl-2.0.
+ *
+ * This Source Code may also be made available under the following Secondary
+ * Licenses when the conditions for such availability set forth in the
+ * Eclipse Public License v. 2.0 are satisfied: GNU General Public License,
+ * version 2 with the GNU Classpath Exception, which is available at
+ * https://www.gnu.org/software/classpath/license.html.
+ *
+ * SPDX-License-Identifier: EPL-2.0 OR GPL-2.0 WITH Classpath-exception-2.0
+ */
+
+package org.glassfish.jersey.message.internal;
+
+import java.io.IOException;
+import java.io.InputStream;
+import java.util.zip.Inflater;
+import java.util.zip.InflaterInputStream;
+
+/**
+ * After Java 9, in the class Inflater the method finalize doesn't call end anymore
+ * The method end must be called explicitly. But when using the constructor
+ * InflaterInputStream(InputStream out, Inflater def), the Inflater.end() method will
+ * not be called when closing the stream.
+ * This lead to memory leaks in the off-heap.
+ *
+ * @see java.util.zip.Inflater
+ * @see java.util.zip.InflaterInputStream
+ */
+public class ClosingInflaterInputStream extends InputStream {
+
+    private final Inflater inflater;
+
+    private final InflaterInputStream delegate;
+
+    private boolean closed = false;
+
+    public ClosingInflaterInputStream(InputStream inputStream, boolean nowrap) {
+        inflater = new Inflater(nowrap);
+        delegate = new InflaterInputStream(inputStream, inflater);
+    }
+
+    @Override
+    public int read() throws IOException {
+        return delegate.read();
+    }
+
+    @Override
+    public int read(byte[] b, int off, int len) throws IOException {
+        return delegate.read(b, off, len);
+    }
+
+    @Override
+    public int available() throws IOException {
+        return delegate.available();
+    }
+
+    @Override
+    public long skip(long n) throws IOException {
+        return delegate.skip(n);
+    }
+
+    @Override
+    public void close() throws IOException {
+        if (!closed) {
+            inflater.end();
+            delegate.close();
+            closed = true;
+        }
+    }
+
+    @Override
+    public boolean markSupported() {
+        return delegate.markSupported();
+    }
+
+    @Override
+    public void mark(int readlimit) {
+        delegate.mark(readlimit);
+    }
+
+    @Override
+    public void reset() throws IOException {
+        delegate.reset();
+    }
+
+    @Override
+    public int read(byte[] b) throws IOException {
+        return delegate.read(b);
+    }
+
+}