diff --git a/libp2p/stream_muxer/mplex/mplex.py b/libp2p/stream_muxer/mplex/mplex.py
index b3b45c0..5b1df77 100644
--- a/libp2p/stream_muxer/mplex/mplex.py
+++ b/libp2p/stream_muxer/mplex/mplex.py
@@ -1,5 +1,4 @@
 import logging
-import math
 from typing import Dict, Optional, Tuple
 
 import trio
@@ -24,6 +23,8 @@ from .exceptions import MplexUnavailable
 from .mplex_stream import MplexStream
 
 MPLEX_PROTOCOL_ID = TProtocol("/mplex/6.7.0")
+# Ref: https://github.com/libp2p/go-mplex/blob/master/multiplex.go#L115
+MPLEX_MESSAGE_CHANNEL_SIZE = 8
 
 logger = logging.getLogger("libp2p.stream_muxer.mplex.mplex")
 
@@ -109,9 +110,9 @@ class Mplex(IMuxedConn):
         return next_id
 
     async def _initialize_stream(self, stream_id: StreamID, name: str) -> MplexStream:
-        # Use an unbounded buffer, to avoid `handle_incoming` being blocked when doing
-        # `send_channel.send`.
-        send_channel, receive_channel = trio.open_memory_channel[bytes](math.inf)
+        send_channel, receive_channel = trio.open_memory_channel[bytes](
+            MPLEX_MESSAGE_CHANNEL_SIZE
+        )
         stream = MplexStream(name, stream_id, self, receive_channel)
         async with self.streams_lock:
             self.streams[stream_id] = stream
@@ -145,7 +146,7 @@ class Mplex(IMuxedConn):
         """
         sends a message over the connection.
 
-        :param header: header to use
+        :param flag: header to use
         :param data: data to send in the message
         :param stream_id: stream the message is in
         """
@@ -270,9 +271,15 @@ class Mplex(IMuxedConn):
                 # TODO: Warn "Received data from remote after stream was closed by them. (len = %d)"  # noqa: E501
                 return
         try:
-            await send_channel.send(message)
+            send_channel.send_nowait(message)
         except (trio.BrokenResourceError, trio.ClosedResourceError):
             raise MplexUnavailable
+        except trio.WouldBlock:
+            # `send_channel` is full, reset this stream.
+            logger.warning(
+                "message channel of stream %s is full: stream is reset", stream_id
+            )
+            await stream.reset()
 
     async def _handle_close(self, stream_id: StreamID) -> None:
         async with self.streams_lock:
diff --git a/tests/stream_muxer/test_mplex_stream.py b/tests/stream_muxer/test_mplex_stream.py
index eeb7653..3bc8bc1 100644
--- a/tests/stream_muxer/test_mplex_stream.py
+++ b/tests/stream_muxer/test_mplex_stream.py
@@ -7,6 +7,7 @@ from libp2p.stream_muxer.mplex.exceptions import (
     MplexStreamEOF,
     MplexStreamReset,
 )
+from libp2p.stream_muxer.mplex.mplex import MPLEX_MESSAGE_CHANNEL_SIZE
 from libp2p.tools.constants import MAX_READ_LEN
 
 DATA = b"data_123"
@@ -19,6 +20,28 @@ async def test_mplex_stream_read_write(mplex_stream_pair):
     assert (await stream_1.read(MAX_READ_LEN)) == DATA
 
 
+@pytest.mark.trio
+async def test_mplex_stream_full_buffer(mplex_stream_pair):
+    stream_0, stream_1 = mplex_stream_pair
+    # Test: The message channel is of size `MPLEX_MESSAGE_CHANNEL_SIZE`.
+    #   It should be fine to read even there are already `MPLEX_MESSAGE_CHANNEL_SIZE`
+    #   messages arriving.
+    for _ in range(MPLEX_MESSAGE_CHANNEL_SIZE):
+        await stream_0.write(DATA)
+    await wait_all_tasks_blocked()
+    # Sanity check
+    assert MAX_READ_LEN >= MPLEX_MESSAGE_CHANNEL_SIZE * len(DATA)
+    assert (await stream_1.read(MAX_READ_LEN)) == MPLEX_MESSAGE_CHANNEL_SIZE * DATA
+
+    # Test: Read after `MPLEX_MESSAGE_CHANNEL_SIZE + 1` messages has arrived, which
+    #   exceeds the channel size. The stream should have been reset.
+    for _ in range(MPLEX_MESSAGE_CHANNEL_SIZE + 1):
+        await stream_0.write(DATA)
+    await wait_all_tasks_blocked()
+    with pytest.raises(MplexStreamReset):
+        await stream_1.read(MAX_READ_LEN)
+
+
 @pytest.mark.trio
 async def test_mplex_stream_pair_read_until_eof(mplex_stream_pair):
     read_bytes = bytearray()