diff --git a/solr/core/src/test/org/apache/solr/core/TestSolrDeletionPolicy1.java b/solr/core/src/test/org/apache/solr/core/TestSolrDeletionPolicy1.java
index 1242c3fb568..53cec4828c7 100644
--- a/solr/core/src/test/org/apache/solr/core/TestSolrDeletionPolicy1.java
+++ b/solr/core/src/test/org/apache/solr/core/TestSolrDeletionPolicy1.java
@@ -17,6 +17,7 @@
 package org.apache.solr.core;
 
 import org.apache.lucene.index.IndexCommit;
+import org.apache.lucene.util.Constants;
 import org.apache.solr.SolrTestCaseJ4;
 import org.junit.Before;
 import org.junit.BeforeClass;
@@ -109,6 +110,9 @@ public class TestSolrDeletionPolicy1 extends SolrTestCaseJ4 {
 
   @Test
   public void testCommitAge() throws InterruptedException {
+    assumeFalse("This test is not working on Windows (or maybe machines with only 2 CPUs)",
+      Constants.WINDOWS);
+  
     IndexDeletionPolicyWrapper delPolicy = h.getCore().getDeletionPolicy();
     addDocs();
     Map<Long, IndexCommit> commits = delPolicy.getCommits();
diff --git a/solr/core/src/test/org/apache/solr/update/SoftAutoCommitTest.java b/solr/core/src/test/org/apache/solr/update/SoftAutoCommitTest.java
index 8c2b3591a76..221f95a692b 100644
--- a/solr/core/src/test/org/apache/solr/update/SoftAutoCommitTest.java
+++ b/solr/core/src/test/org/apache/solr/update/SoftAutoCommitTest.java
@@ -24,6 +24,7 @@ import static org.junit.Assert.assertEquals;
 import java.util.concurrent.BlockingQueue;
 import java.util.concurrent.LinkedBlockingQueue;
 
+import org.apache.lucene.util.Constants;
 import org.apache.solr.common.util.NamedList;
 import org.apache.solr.core.SolrCore;
 import org.apache.solr.core.SolrEventListener;
@@ -62,6 +63,9 @@ public class SoftAutoCommitTest extends AbstractSolrTestCase {
     
   @Before
   public void createMonitor() throws Exception {
+    assumeFalse("This test is not working on Windows (or maybe machines with only 2 CPUs)",
+      Constants.WINDOWS);
+  
     SolrCore core = h.getCore();
 
     updater = (DirectUpdateHandler2) core.getUpdateHandler();