diff --git a/Lib/asyncio/futures.py b/Lib/asyncio/futures.py
index 5d35321db7943b0..9c1b5e49e1a70be 100644
--- a/Lib/asyncio/futures.py
+++ b/Lib/asyncio/futures.py
@@ -319,11 +319,9 @@ def _set_result_unless_cancelled(fut, result):
 def _convert_future_exc(exc):
     exc_class = type(exc)
     if exc_class is concurrent.futures.CancelledError:
-        return exceptions.CancelledError(*exc.args)
-    elif exc_class is concurrent.futures.TimeoutError:
-        return exceptions.TimeoutError(*exc.args)
+        return exceptions.CancelledError(*exc.args).with_traceback(exc.__traceback__)
     elif exc_class is concurrent.futures.InvalidStateError:
-        return exceptions.InvalidStateError(*exc.args)
+        return exceptions.InvalidStateError(*exc.args).with_traceback(exc.__traceback__)
     else:
         return exc
 
diff --git a/Lib/test/test_asyncio/test_futures.py b/Lib/test/test_asyncio/test_futures.py
index d3e8efec1c04c2b..458b70451a306a8 100644
--- a/Lib/test/test_asyncio/test_futures.py
+++ b/Lib/test/test_asyncio/test_futures.py
@@ -5,6 +5,7 @@
 import re
 import sys
 import threading
+import traceback
 import unittest
 from unittest import mock
 from types import GenericAlias
@@ -416,6 +417,24 @@ def test_copy_state(self):
         _copy_future_state(f_cancelled, newf_cancelled)
         self.assertTrue(newf_cancelled.cancelled())
 
+        try:
+            raise concurrent.futures.InvalidStateError
+        except BaseException as e:
+            f_exc = e
+
+        f_conexc = self._new_future(loop=self.loop)
+        f_conexc.set_exception(f_exc)
+
+        newf_conexc = self._new_future(loop=self.loop)
+        _copy_future_state(f_conexc, newf_conexc)
+        self.assertTrue(newf_conexc.done())
+        try:
+            newf_conexc.result()
+        except BaseException as e:
+            newf_exc = e # assertRaises context manager drops the traceback
+        newf_tb = ''.join(traceback.format_tb(newf_exc.__traceback__))
+        self.assertEqual(newf_tb.count('raise concurrent.futures.InvalidStateError'), 1)
+
     def test_iter(self):
         fut = self._new_future(loop=self.loop)
 
diff --git a/Misc/NEWS.d/next/Library/2024-04-02-13-13-46.gh-issue-117459.jiIZmH.rst b/Misc/NEWS.d/next/Library/2024-04-02-13-13-46.gh-issue-117459.jiIZmH.rst
new file mode 100644
index 000000000000000..549bd44112befe1
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2024-04-02-13-13-46.gh-issue-117459.jiIZmH.rst
@@ -0,0 +1 @@
+:meth:`asyncio.asyncio.run_coroutine_threadsafe` now keeps the traceback of :class:`CancelledError`, :class:`TimeoutError` and :class:`InvalidStateError` which are raised in the coroutine.