diff --git a/halo2_frontend/src/dev.rs b/halo2_frontend/src/dev.rs
index d8e95d7a4..4678319ff 100644
--- a/halo2_frontend/src/dev.rs
+++ b/halo2_frontend/src/dev.rs
@@ -1566,9 +1566,7 @@ mod tests {
     }
 
     #[test]
-    #[should_panic(
-        expected = "pair of selector/fixed queries(querying the tag columns) should be included, otherwise we have soundness error"
-    )]
+    #[should_panic(expected = "all table expressions need selector/fixed query for tagging")]
     fn bad_lookup_any_no_fixed_col_or_selector() {
         const K: u32 = 4;
 
diff --git a/halo2_frontend/src/plonk/circuit/constraint_system.rs b/halo2_frontend/src/plonk/circuit/constraint_system.rs
index 18d49d8ae..7dad50312 100644
--- a/halo2_frontend/src/plonk/circuit/constraint_system.rs
+++ b/halo2_frontend/src/plonk/circuit/constraint_system.rs
@@ -402,6 +402,8 @@ impl<F: Field> ConstraintSystem<F> {
         let mut cells = VirtualCells::new(self);
 
         let mut is_all_table_expr_fixed_or_selector = true;
+        let mut is_all_input_expr_contains_fixed_or_selector = true;
+        let mut is_all_table_expr_contains_fixed_or_selector = true;
         let mut is_tagging_cols_pair_exists = false;
 
         let table_map = table_map(&mut cells)
@@ -416,6 +418,12 @@ impl<F: Field> ConstraintSystem<F> {
 
                 is_all_table_expr_fixed_or_selector &=
                     table.degree() == 1 && table.contains_fixed_col_or_selector();
+
+                is_all_input_expr_contains_fixed_or_selector &=
+                    input.contains_fixed_col_or_selector();
+                is_all_table_expr_contains_fixed_or_selector &=
+                    table.contains_fixed_col_or_selector();
+
                 is_tagging_cols_pair_exists |= (input.contains_fixed_col_or_selector()
                     && input.degree() == 1)
                     && (table.contains_fixed_col_or_selector() && table.degree() == 1);
@@ -429,6 +437,12 @@ impl<F: Field> ConstraintSystem<F> {
         if is_all_table_expr_fixed_or_selector {
             panic!("all table expressions contain only fixed query, should use `lookup` api instead of `lookup_any`");
         }
+        if !is_all_input_expr_contains_fixed_or_selector {
+            panic!("all input expressions need selector/fixed query for tagging");
+        }
+        if !is_all_table_expr_contains_fixed_or_selector {
+            panic!("all table expressions need selector/fixed query for tagging");
+        }
         if !is_tagging_cols_pair_exists {
             panic!("pair of selector/fixed queries(querying the tag columns) should be included, otherwise we have soundness error");
         }