diff --git a/debian/patches/fix-psycopg-close-tests.patch b/debian/patches/fix-psycopg-close-tests.patch
new file mode 100644
index 0000000..9b69d89
--- /dev/null
+++ b/debian/patches/fix-psycopg-close-tests.patch
@@ -0,0 +1,29 @@
+Description: Skip tests for Close messages on psycopg < 3.2
+Origin: upstream, https://github.com/pgbouncer/pgbouncer/pull/1266
+Last-Update: 2025-02-05
+---
+This patch header follows DEP-3: http://dep.debian.net/deps/dep3/
+--- a/test/test_prepared.py
++++ b/test/test_prepared.py
+@@ -311,6 +311,10 @@ def test_describe_non_existent_prepared_statement(bouncer):
+
+ # libpq before PG17 does not support sending Close messages
+ @pytest.mark.skipif("psycopg.pq.version() < 170000")
++@pytest.mark.skipif(
++    "psycopg.__version__ < '3.2.0'",
++    reason="Debian oldstable doesn't support a version of psycopg with 'close_prepared' support",
++)
+ def test_close_prepared_statement(bouncer):
+     with bouncer.conn() as conn:
+         result = conn.pgconn.prepare(b"test", b"SELECT 1")
+@@ -338,8 +342,9 @@ def test_statement_name_longer_than_pkt_buf(bouncer):
+         assert result.status == pq.ExecStatus.TUPLES_OK
+         assert result.get_value(0, 0) == b"abc"
+
+-        if psycopg.pq.version() >= 170000:
++        if psycopg.pq.version() >= 170000 and psycopg.__version__ >= "3.2.0":
+             # libpq before PG17 does not support sending Close messages
++            # Debian oldstable does not package psycopg with 'close_prepared'
+             result = conn.pgconn.close_prepared(name)
+             assert result.status == pq.ExecStatus.COMMAND_OK
+             # Ensure that the close was successful
diff --git a/debian/patches/series b/debian/patches/series
index 19f790e..5d78651 100644
--- a/debian/patches/series
+++ b/debian/patches/series
@@ -1,2 +1,3 @@
+fix-psycopg-close-tests.patch
 debian-config
 update-test-assertions.patch