diff --git a/tests/test_connection.py b/tests/test_connection.py
index 326a133..0837aa5 100644
--- a/tests/test_connection.py
+++ b/tests/test_connection.py
@@ -31,6 +31,7 @@
 '''
 from __future__ import annotations
 
+import copy
 from functools import partial, wraps
 import re
 import ssl
@@ -1205,3 +1206,16 @@ async def server():
     async with trio.open_nursery() as nursery:
         nursery.start_soon(server)
         nursery.start_soon(client)
+
+
+def test_copy_exceptions():
+    # test that exceptions are copy- and pickleable
+    copy.copy(HandshakeError())
+    copy.copy(ConnectionTimeout())
+    copy.copy(DisconnectionTimeout())
+    assert copy.copy(ConnectionClosed("foo")).reason == "foo"
+
+    rej_copy = copy.copy(ConnectionRejected(404, (("a", "b"),), b"c"))
+    assert rej_copy.status_code == 404
+    assert rej_copy.headers == (("a", "b"),)
+    assert rej_copy.body == b"c"
diff --git a/trio_websocket/_impl.py b/trio_websocket/_impl.py
index 62c7ff7..5f3a9d4 100644
--- a/trio_websocket/_impl.py
+++ b/trio_websocket/_impl.py
@@ -608,7 +608,7 @@ def __init__(self, reason):
         :param reason:
         :type reason: CloseReason
         '''
-        super().__init__()
+        super().__init__(reason)
         self.reason = reason
 
     def __repr__(self):
@@ -628,7 +628,7 @@ def __init__(self, status_code, headers, body):
         :param reason:
         :type reason: CloseReason
         '''
-        super().__init__()
+        super().__init__(status_code, headers, body)
         #: a 3 digit HTTP status code
         self.status_code = status_code
         #: a tuple of 2-tuples containing header key/value pairs