diff --git a/tests/integration/utils/test_sqlalchemy_exec_utils.py b/tests/integration/utils/test_sqlalchemy_exec_utils.py
index bcc1c91a9..b549ad0f4 100644
--- a/tests/integration/utils/test_sqlalchemy_exec_utils.py
+++ b/tests/integration/utils/test_sqlalchemy_exec_utils.py
@@ -10,7 +10,8 @@
 
 class SomeTable(Base):
     __tablename__ = "some_table"
-    pk = sqlalchemy.Column(sqlalchemy.Integer, primary_key=True)
+    pk = sqlalchemy.Column(sqlalchemy.Integer, primary_key=True, autoincrement=False)
+    key = sqlalchemy.Column(sqlalchemy.Integer)
     foo = sqlalchemy.Column(sqlalchemy.String)
 
 
@@ -21,9 +22,9 @@ def test_fetch_table_in_batches_unique(engine):
     table_size = 15
     batch_size = 6
 
-    table_data = [(i, f"foo{i}") for i in range(table_size)]
+    table_data = [(i, i, f"foo{i}") for i in range(table_size)]
 
-    engine.setup([SomeTable(pk=row[0], foo=row[1]) for row in table_data])
+    engine.setup([SomeTable(pk=row[0], key=row[1], foo=row[2]) for row in table_data])
 
     table = SomeTable.__table__
 
@@ -31,10 +32,36 @@ def test_fetch_table_in_batches_unique(engine):
         results = fetch_table_in_batches(
             connection.execute,
             table,
-            table.c.pk,
+            table.c.key,
             key_is_unique=True,
             batch_size=batch_size,
         )
         results = list(results)
 
     assert results == table_data
+
+
+def test_fetch_table_in_batches_nonunique(engine):
+    if engine.name == "in_memory":
+        pytest.skip("SQL tests do not apply to in-memory engine")
+
+    batch_size = 6
+    repeats = [1, 2, 3, 4, 5, 0, 5, 4, 3, 2, 1]
+    keys = [key for key, n in enumerate(repeats) for _ in range(n)]
+    table_data = [(i, key, f"foo{i}") for i, key in enumerate(keys)]
+
+    engine.setup([SomeTable(pk=row[0], key=row[1], foo=row[2]) for row in table_data])
+
+    table = SomeTable.__table__
+
+    with engine.sqlalchemy_engine().connect() as connection:
+        results = fetch_table_in_batches(
+            connection.execute,
+            table,
+            table.c.key,
+            key_is_unique=False,
+            batch_size=batch_size,
+        )
+        results = sorted(results)
+
+    assert results == table_data