diff --git a/bigframes/session/_io/bigquery/read_gbq_table.py b/bigframes/session/_io/bigquery/read_gbq_table.py
index 8d8f247185..6b1cb99c65 100644
--- a/bigframes/session/_io/bigquery/read_gbq_table.py
+++ b/bigframes/session/_io/bigquery/read_gbq_table.py
@@ -101,7 +101,16 @@ def validate_table(
     # Anonymous dataset, does not support snapshot ever
     if table.dataset_id.startswith("_"):
         pass
+
     # Only true tables support time travel
+    elif table.table_id.endswith("*"):
+        msg = bfe.format_message(
+            "Wildcard tables do not support FOR SYSTEM_TIME AS OF queries. "
+            "Attempting query without time travel. Be aware that "
+            "modifications to the underlying data may result in errors or "
+            "unexpected behavior."
+        )
+        warnings.warn(msg, category=bfe.TimeTravelDisabledWarning)
     elif table.table_type != "TABLE":
         if table.table_type == "MATERIALIZED_VIEW":
             msg = bfe.format_message(
@@ -137,7 +146,7 @@ def validate_table(
         sql_predicate=filter_str,
         time_travel_timestamp=None,
     )
-    # Any erorrs here should just be raised to user
+    # Any errors here should just be raised to user
     bqclient.query_and_wait(
         snapshot_sql, job_config=bigquery.QueryJobConfig(dry_run=True)
     )
diff --git a/bigframes/session/loader.py b/bigframes/session/loader.py
index f748f0fd76..4924037f89 100644
--- a/bigframes/session/loader.py
+++ b/bigframes/session/loader.py
@@ -518,11 +518,7 @@ def read_gbq_table(
         # clustered tables, so fallback to a query. We do this here so that
         # the index is consistent with tables that have primary keys, even
         # when max_results is set.
-        # TODO(b/338419730): We don't need to fallback to a query for wildcard
-        # tables if we allow some non-determinism when time travel isn't supported.
-        if max_results is not None or bf_io_bigquery.is_table_with_wildcard_suffix(
-            table_id
-        ):
+        if max_results is not None:
             # TODO(b/338111344): If we are running a query anyway, we might as
             # well generate ROW_NUMBER() at the same time.
             all_columns: Iterable[str] = (
@@ -540,7 +536,7 @@ def read_gbq_table(
                 time_travel_timestamp=None,
             )
 
-            return self.read_gbq_query(  # type: ignore # for dry_run overload
+            df = self.read_gbq_query(  # type: ignore # for dry_run overload
                 query,
                 index_col=index_cols,
                 columns=columns,
@@ -548,6 +544,7 @@ def read_gbq_table(
                 use_cache=use_cache,
                 dry_run=dry_run,
             )
+            return df
 
         if dry_run:
             return dry_runs.get_table_stats(table)
diff --git a/tests/system/small/test_session.py b/tests/system/small/test_session.py
index ad01a95509..ab460d5bc9 100644
--- a/tests/system/small/test_session.py
+++ b/tests/system/small/test_session.py
@@ -449,11 +449,15 @@ def test_read_gbq_twice_with_same_timestamp(session, penguins_table_id):
 @pytest.mark.parametrize(
     "source_table",
     [
+        # Wildcard tables
+        "bigquery-public-data.noaa_gsod.gsod194*",
+        # Linked datasets
         "bigframes-dev.thelook_ecommerce.orders",
+        # Materialized views
         "bigframes-dev.bigframes_tests_sys.base_table_mat_view",
     ],
 )
-def test_read_gbq_on_linked_dataset_warns(session, source_table):
+def test_read_gbq_warns_time_travel_disabled(session, source_table):
     with warnings.catch_warnings(record=True) as warned:
         session.read_gbq(source_table, use_cache=False)
         assert len(warned) == 1