diff --git a/mitmproxy/net/udp.py b/mitmproxy/net/udp.py
index 328fcba75..3590d4284 100644
--- a/mitmproxy/net/udp.py
+++ b/mitmproxy/net/udp.py
@@ -175,8 +175,12 @@ class DatagramWriter:
         """
         self._transport = transport
         self._remote_addr = remote_addr
-        self._reader = reader
-        self._closed = asyncio.Event() if reader is not None else None
+        if reader is not None:
+            self._reader = reader
+            self._closed = asyncio.Event()
+        else:
+            self._reader = None
+            self._closed = None
 
     @property
     def _protocol(self) -> DrainableDatagramProtocol | udp_wireguard.WireGuardDatagramTransport:
@@ -199,9 +203,15 @@ class DatagramWriter:
             self._transport.close()
         else:
             self._closed.set()
-        if self._reader is not None:
+            assert self._reader
             self._reader.feed_eof()
 
+    def is_closing(self) -> bool:
+        if self._closed is None:
+            return self._transport.is_closing()
+        else:
+            return self._closed.is_set()
+
     async def wait_closed(self) -> None:
         if self._closed is None:
             await self._protocol.wait_closed()
diff --git a/mitmproxy/proxy/server.py b/mitmproxy/proxy/server.py
index 06033e427..1341564ad 100644
--- a/mitmproxy/proxy/server.py
+++ b/mitmproxy/proxy/server.py
@@ -367,7 +367,8 @@ class ConnectionHandler(metaclass=abc.ABCMeta):
                 elif isinstance(command, commands.SendData):
                     writer = self.transports[command.connection].writer
                     assert writer
-                    writer.write(command.data)
+                    if not writer.is_closing():
+                        writer.write(command.data)
                 elif isinstance(command, commands.CloseConnection):
                     self.close_connection(command.connection, command.half_close)
                 elif isinstance(command, commands.StartHook):
@@ -393,7 +394,8 @@ class ConnectionHandler(metaclass=abc.ABCMeta):
             try:
                 writer = self.transports[connection].writer
                 assert writer
-                writer.write_eof()
+                if not writer.is_closing():
+                    writer.write_eof()
             except OSError:
                 # if we can't write to the socket anymore we presume it completely dead.
                 connection.state = ConnectionState.CLOSED
diff --git a/test/mitmproxy/net/test_udp.py b/test/mitmproxy/net/test_udp.py
index 6e5a9f623..f90538f55 100644
--- a/test/mitmproxy/net/test_udp.py
+++ b/test/mitmproxy/net/test_udp.py
@@ -45,11 +45,16 @@ async def test_client_server():
     server.resume_writing()
     await server.drain()
 
+    assert not client_writer.is_closing()
+    assert not server_writer.is_closing()
+
     assert await client_reader.read(MAX_DATAGRAM_SIZE) == b"msg4"
     client_writer.close()
+    assert client_writer.is_closing()
     await client_writer.wait_closed()
 
     server_writer.close()
+    assert server_writer.is_closing()
     await server_writer.wait_closed()
 
     server.close()