diff --git a/tests/core/test_scheduler.py b/tests/core/test_scheduler.py
index 7e3ed0f1ad..86896ee491 100644
--- a/tests/core/test_scheduler.py
+++ b/tests/core/test_scheduler.py
@@ -722,3 +722,90 @@ def signal_b(batch: DatetimeRanges):
         c: [],
         d: [],
     }
+
+
+def test_signals_and_lookback(mocker: MockerFixture, make_snapshot, get_batched_missing_intervals):
+    @signal()
+    def signal_base(batch: DatetimeRanges):
+        return [batch[0]]
+
+    signals = signal.get_registry()
+
+    a = make_snapshot(
+        load_sql_based_model(
+            parse(  # type: ignore
+                """
+                MODEL (
+                    name base,
+                    kind INCREMENTAL_BY_TIME_RANGE(
+                      lookback 1,
+                      time_column dt,
+                    ),
+                    start '2023-01-01',
+                    signals SIGNAL_BASE(),
+                );
+
+                SELECT @start_date AS dt;
+                """
+            ),
+            signal_definitions=signals,
+        ),
+    )
+
+    b = make_snapshot(
+        load_sql_based_model(
+            parse(  # type: ignore
+                """
+                MODEL (
+                    name b,
+                    kind INCREMENTAL_BY_TIME_RANGE(
+                      lookback 1,
+                      time_column dt,
+                    ),
+                    start '2023-01-01'
+                );
+
+                SELECT @start_date AS dt;
+                """
+            ),
+            signal_definitions=signals,
+        )
+    )
+
+    c = make_snapshot(
+        load_sql_based_model(
+            parse(  # type: ignore
+                """
+                MODEL (
+                    name c,
+                    kind INCREMENTAL_BY_TIME_RANGE(
+                      lookback 1,
+                      time_column dt,
+                    ),
+                    start '2023-01-01',
+                );
+
+                SELECT * FROM a UNION SELECT * FROM b
+                """
+            ),
+            signal_definitions=signals,
+        ),
+        nodes={a.name: a.model, b.name: b.model},
+    )
+
+    snapshot_evaluator = SnapshotEvaluator(adapters=mocker.MagicMock(), ddl_concurrent_tasks=1)
+    scheduler = Scheduler(
+        snapshots=[a, b, c],
+        snapshot_evaluator=snapshot_evaluator,
+        state_sync=mocker.MagicMock(),
+        max_workers=2,
+        default_catalog=None,
+    )
+
+    batches = get_batched_missing_intervals(scheduler, "2023-01-01", "2023-01-03", None)
+
+    assert batches == {
+        a: [(to_timestamp("2023-01-01"), to_timestamp("2023-01-02"))],
+        b: [(to_timestamp("2023-01-01"), to_timestamp("2023-01-04"))],
+        c: [(to_timestamp("2023-01-01"), to_timestamp("2023-01-02"))],
+    }