diff --git a/lucene/core/src/test/org/apache/lucene/index/TestCustomNorms.java b/lucene/core/src/test/org/apache/lucene/index/TestCustomNorms.java
index 7737de18276..3b3e982c5df 100644
--- a/lucene/core/src/test/org/apache/lucene/index/TestCustomNorms.java
+++ b/lucene/core/src/test/org/apache/lucene/index/TestCustomNorms.java
@@ -45,7 +45,7 @@ public class TestCustomNorms extends LuceneTestCase {
 
     Directory dir = newDirectory();
     MockAnalyzer analyzer = new MockAnalyzer(random());
-    analyzer.setMaxTokenLength(TestUtil.nextInt(random(), 1, IndexWriter.MAX_TERM_LENGTH));
+    analyzer.setMaxTokenLength(TestUtil.nextInt(random(), 2, IndexWriter.MAX_TERM_LENGTH));
 
     IndexWriterConfig config = newIndexWriterConfig(analyzer);
     Similarity provider = new MySimProvider();