diff --git a/datasette/utils/sql_analysis.py b/datasette/utils/sql_analysis.py
index 22bb55c4..6325e890 100644
--- a/datasette/utils/sql_analysis.py
+++ b/datasette/utils/sql_analysis.py
@@ -1,3 +1,4 @@
+import sys
 from dataclasses import dataclass
 from typing import Literal
 
@@ -196,6 +197,16 @@ def _allow_authorizer_action(*args):
     return sqlite3.SQLITE_OK
 
 
+def _disable_authorizer(conn):
+    # Python 3.11 added support for unregistering an authorizer using None.
+    # On Python 3.10, None is installed as the callback instead, and the next
+    # statement fails with "not authorized" when sqlite3 tries to call it.
+    if sys.version_info >= (3, 11):
+        conn.set_authorizer(None)
+    else:
+        conn.set_authorizer(_allow_authorizer_action)
+
+
 def analyze_sql_tables(
     conn,
     sql: str,
@@ -484,7 +495,7 @@ def analyze_sql_tables(
                         conn, key.table, schema=key.sqlite_schema
                     )
     finally:
-        conn.set_authorizer(None)
+        _disable_authorizer(conn)
 
     has_schema_operation = any(
         key.target_type in {"table", "index", "view", "trigger", "virtual-table"}
diff --git a/tests/test_utils_sql_analysis.py b/tests/test_utils_sql_analysis.py
index a6f95e5b..363814d7 100644
--- a/tests/test_utils_sql_analysis.py
+++ b/tests/test_utils_sql_analysis.py
@@ -439,7 +439,7 @@ def test_analyze_attached_database_tables(conn):
     }
 
 
-def test_analyze_clears_authorizer_on_error():
+def test_analyze_disables_authorizer_on_error():
     class FakeConnection:
         def __init__(self):
             self.authorizers = []
@@ -455,4 +455,5 @@ def test_analyze_clears_authorizer_on_error():
     with pytest.raises(sqlite3.OperationalError):
         analyze_sql_tables(conn, "bad SQL")
 
-    assert conn.authorizers[-1] is None
+    final_authorizer = conn.authorizers[-1]
+    assert final_authorizer is None or final_authorizer() == sqlite3.SQLITE_OK