diff --git a/discord/player.py b/discord/player.py
index 5e44498f3..b1f02c3af 100644
--- a/discord/player.py
+++ b/discord/player.py
@@ -24,7 +24,6 @@ DEALINGS IN THE SOFTWARE.
 from __future__ import annotations
 
 import threading
-import traceback
 import subprocess
 import audioop
 import asyncio
@@ -709,14 +708,10 @@ class AudioPlayer(threading.Thread):
             try:
                 self.after(error)
             except Exception as exc:
-                _log.exception('Calling the after function failed.')
                 exc.__context__ = error
-                traceback.print_exception(type(exc), exc, exc.__traceback__)
+                _log.exception('Calling the after function failed.', exc_info=exc)
         elif error:
-            msg = f'Exception in voice thread {self.name}'
-            _log.exception(msg, exc_info=error)
-            print(msg, file=sys.stderr)
-            traceback.print_exception(type(error), error, error.__traceback__)
+            _log.exception('Exception in voice thread %s.', self.name, exc_info=error)
 
     def stop(self) -> None:
         self._end.set()
diff --git a/discord/voice_client.py b/discord/voice_client.py
index 63bcb87a2..b7c0eb0ad 100644
--- a/discord/voice_client.py
+++ b/discord/voice_client.py
@@ -587,7 +587,10 @@ class VoiceClient(VoiceProtocol):
 
         If an error happens while the audio player is running, the exception is
         caught and the audio player is then stopped.  If no after callback is
-        passed, any caught exception will be displayed as if it were raised.
+        passed, any caught exception will be logged using the library logger.
+
+        .. versionchanged:: 2.0
+            Instead of writing to ``sys.stderr``, the library's logger is used.
 
         Parameters
         -----------
diff --git a/docs/migrating.rst b/docs/migrating.rst
index 3cf5559b5..ad2ae254c 100644
--- a/docs/migrating.rst
+++ b/docs/migrating.rst
@@ -852,6 +852,7 @@ The library now provides a default logging configuration if using :meth:`Client.
 - :meth:`Client.on_error`
 - :meth:`discord.ext.tasks.Loop.error`
 - :meth:`discord.ext.commands.Bot.on_command_error`
+- :meth:`VoiceClient.play`
 
 For more information, check :doc:`logging`.