diff --git a/CHANGES.txt b/CHANGES.txt
index 216527a..76d3b78 100644
--- a/CHANGES.txt
+++ b/CHANGES.txt
@@ -1,5 +1,9 @@
 Changes
 -------
+0.5.1 (unreleased)
+^^^^^^^^^^^^^^^^^
+* Ensure close() runs even if rollback() fails (fix #471)
+
 0.5.0 (2023-10-28)
 ^^^^^^^^^^^^^^^^^^
 * Added support for python 3.12
diff --git a/aioodbc/connection.py b/aioodbc/connection.py
index 8e7ccab..f275ba5 100644
--- a/aioodbc/connection.py
+++ b/aioodbc/connection.py
@@ -19,8 +19,10 @@ async def _close_cursor(c: Cursor) -> None:
 
 
 async def _close_cursor_on_error(c: Cursor) -> None:
-    await c.rollback()
-    await c.close()
+    try:
+        await c.rollback()
+    finally:
+        await c.close()
 
 
 class Connection:
@@ -248,8 +250,10 @@ async def _disconnect(c: "Connection") -> None:
 
 
 async def _disconnect_on_error(c: "Connection") -> None:
-    await c.rollback()
-    await c.close()
+    try:
+        await c.rollback()
+    finally:
+        await c.close()
 
 
 async def _connect(