diff --git a/pkg/sql/logictest/testdata/logic_test/trigram_indexes b/pkg/sql/logictest/testdata/logic_test/trigram_indexes
index 668c214e4b14..528b75335696 100644
--- a/pkg/sql/logictest/testdata/logic_test/trigram_indexes
+++ b/pkg/sql/logictest/testdata/logic_test/trigram_indexes
@@ -358,3 +358,29 @@ FROM
             AS tab (col1_1, col1_2) ON
             (tab2.col1) = (tab.col1_1)
             AND (tab2.col2) = (tab.col1_2);
+
+subtest trigram_similarity_zero_threshold_inverted_index
+
+statement ok
+SET pg_trgm.similarity_threshold =  0;
+
+statement ok
+CREATE TABLE trigram_similarity_zero_threshold_inverted_index_a (
+  a INT PRIMARY KEY,
+  b STRING,
+  INVERTED INDEX c (b gin_trgm_ops)
+);
+
+statement ok
+SET optimizer_use_trigram_similarity_optimization = false;
+
+statement error pq: index "c" is inverted and cannot be used for this query
+SELECT * FROM trigram_similarity_zero_threshold_inverted_index_a@c WHERE b % 'foo';
+
+statement ok
+SET optimizer_use_trigram_similarity_optimization = true;
+
+statement error pq: index "c" is inverted and cannot be used for this query
+SELECT * FROM trigram_similarity_zero_threshold_inverted_index_a@c WHERE b % 'foo';
+
+subtest end
diff --git a/pkg/sql/opt/invertedidx/trigram.go b/pkg/sql/opt/invertedidx/trigram.go
index 4511931a2347..86561913adfd 100644
--- a/pkg/sql/opt/invertedidx/trigram.go
+++ b/pkg/sql/opt/invertedidx/trigram.go
@@ -72,6 +72,12 @@ func (t *trigramFilterPlanner) extractInvertedFilterConditionFromLeaf(
 		if evalCtx.SessionData().OptimizerUseTrigramSimilarityOptimization {
 			return inverted.NonInvertedColExpression{}, expr, nil
 		}
+
+		// Do not plan inverted index scans when the trigram similarity threshold is 0
+		// because all strings will be matched.
+		if evalCtx.SessionData().TrigramSimilarityThreshold == 0 {
+			return inverted.NonInvertedColExpression{}, expr, nil
+		}
 		// If we're doing a % expression (similarity threshold), we need to
 		// construct an OR out of the spans: we need to find results that match any
 		// of the trigrams in the constant datum, and we'll filter the results
diff --git a/pkg/sql/opt/invertedidx/trigram_test.go b/pkg/sql/opt/invertedidx/trigram_test.go
index b3c9d37b6b6e..598a623d23f6 100644
--- a/pkg/sql/opt/invertedidx/trigram_test.go
+++ b/pkg/sql/opt/invertedidx/trigram_test.go
@@ -23,6 +23,7 @@ func TestTryFilterTrigram(t *testing.T) {
 	semaCtx := tree.MakeSemaContext(nil /* resolver */)
 	st := cluster.MakeTestingClusterSettings()
 	evalCtx := eval.NewTestingEvalContext(st)
+	evalCtx.SessionData().TrigramSimilarityThreshold = 0.3
 
 	tc := testcat.New()
 	if _, err := tc.ExecuteDDL(