diff --git a/tests/test_core.py b/tests/test_core.py
index c7949639..c547abd7 100644
--- a/tests/test_core.py
+++ b/tests/test_core.py
@@ -411,6 +411,94 @@ def test_filter_schemas():
     assert tap_catalog["streams"][0]["stream"] == altered_table_name
 
 
+def test_incremental():
+    """Test incremental replication state."""
+    table_name = "test_incremental"
+    engine = sa.create_engine(SAMPLE_CONFIG["sqlalchemy_url"])
+
+    metadata_obj = sa.MetaData()
+    table = sa.Table(
+        table_name,
+        metadata_obj,
+        sa.Column("id", sa.Integer),
+        sa.Column("name", sa.String),
+        sa.Column("updated_at", sa.DateTime),
+    )
+    replication_key = "updated_at"
+
+    with engine.connect() as conn:
+        table.drop(conn, checkfirst=True)
+        metadata_obj.create_all(conn)
+        insert = table.insert().values(
+            [
+                {
+                    "id": 1,
+                    "name": "foo",
+                    "updated_at": datetime.datetime(
+                        2022,
+                        10,
+                        1,
+                        tzinfo=datetime.timezone.utc,
+                    ),
+                },
+                {
+                    "id": 2,
+                    "name": "bar",
+                    "updated_at": datetime.datetime(
+                        2022,
+                        1,
+                        1,
+                        tzinfo=datetime.timezone.utc,
+                    ),
+                },
+                {
+                    "id": 1,
+                    "name": "baz",
+                    "updated_at": datetime.datetime(
+                        2022,
+                        4,
+                        1,
+                        tzinfo=datetime.timezone.utc,
+                    ),
+                },
+            ],
+        )
+        conn.execute(insert)
+
+    tap = TapPostgres(config=SAMPLE_CONFIG)
+    tap_catalog = json.loads(tap.catalog_json_text)
+    altered_table_name = f"public-{table_name}"
+
+    for stream in tap_catalog["streams"]:
+        if stream.get("stream") and altered_table_name not in stream["stream"]:
+            for metadata in stream["metadata"]:
+                metadata["metadata"]["selected"] = False
+        else:
+            for metadata in stream["metadata"]:
+                metadata["metadata"]["selected"] = True
+                if metadata["breadcrumb"] == []:
+                    metadata["metadata"]["replication-method"] = "INCREMENTAL"
+                    metadata["metadata"]["replication-key"] = replication_key
+
+    test_runner = PostgresTestRunner(
+        tap_class=TapPostgres,
+        config=SAMPLE_CONFIG,
+        catalog=tap_catalog,
+    )
+    test_runner.sync_all()
+    assert test_runner.state_messages[-1] == {
+        "type": "STATE",
+        "value": {
+            "bookmarks": {
+                altered_table_name: {
+                    "replication_key": replication_key,
+                    "replication_key_value": "2022-10-01T00:00:00+00:00",
+                },
+            },
+        },
+    }
+
+
 class PostgresTestRunner(TapTestRunner):
     def run_sync_dry_run(self) -> bool:
         """Dislike this function and how TestRunner does this so just hacking it here.