diff --git a/lucene/analysis/common/src/test/org/apache/lucene/analysis/core/TestRandomChains.java b/lucene/analysis/common/src/test/org/apache/lucene/analysis/core/TestRandomChains.java
index 50a620ef7a1..b100b8d6752 100644
--- a/lucene/analysis/common/src/test/org/apache/lucene/analysis/core/TestRandomChains.java
+++ b/lucene/analysis/common/src/test/org/apache/lucene/analysis/core/TestRandomChains.java
@@ -67,6 +67,8 @@ import org.apache.lucene.analysis.compound.hyphenation.HyphenationTree;
 import org.apache.lucene.analysis.hunspell.HunspellDictionary;
 import org.apache.lucene.analysis.hunspell.HunspellDictionaryTest;
 import org.apache.lucene.analysis.miscellaneous.HyphenatedWordsFilter;
+import org.apache.lucene.analysis.miscellaneous.KeepWordFilter;
+import org.apache.lucene.analysis.miscellaneous.LengthFilter;
 import org.apache.lucene.analysis.miscellaneous.LimitTokenCountFilter;
 import org.apache.lucene.analysis.miscellaneous.TrimFilter;
 import org.apache.lucene.analysis.miscellaneous.WordDelimiterFilter;
@@ -197,6 +199,26 @@ public class TestRandomChains extends BaseTokenStreamTestCase {
               return !(Boolean) args[0];
             }
           });
+      brokenOffsetsConstructors.put(
+          LengthFilter.class.getConstructor(boolean.class, TokenStream.class, int.class, int.class),
+          new Predicate<Object[]>() {
+            @Override
+            public boolean apply(Object[] args) {
+              assert args.length == 4;
+              // LUCENE-4065: only if you pass 'false' to enablePositionIncrements!
+              return !(Boolean) args[0];
+            }
+          });
+      brokenOffsetsConstructors.put(
+          KeepWordFilter.class.getConstructor(boolean.class, TokenStream.class, CharArraySet.class),
+          new Predicate<Object[]>() {
+            @Override
+            public boolean apply(Object[] args) {
+              assert args.length == 3;
+              // LUCENE-4065: only if you pass 'false' to enablePositionIncrements!
+              return !(Boolean) args[0];
+            }
+          });
       for (Class<?> c : Arrays.<Class<?>>asList(
           ReversePathHierarchyTokenizer.class,
           PathHierarchyTokenizer.class,