diff --git a/src/libCom/test/epicsThreadTest.cpp b/src/libCom/test/epicsThreadTest.cpp
index 3a11ee7ed..689a7c4df 100644
--- a/src/libCom/test/epicsThreadTest.cpp
+++ b/src/libCom/test/epicsThreadTest.cpp
@@ -83,7 +83,6 @@ static void threadSleepQuantumTest ()
         double interval = rand ();
         interval /= RAND_MAX;
         interval *= quantum;
-        interval += quantum / 2.0;
         epicsTime start = epicsTime::getCurrent ();
         epicsTime current = start;
         while ( current - start < interval ) {
@@ -109,6 +108,9 @@ static void threadSleepQuantumTest ()
     else if ( quantumError > 0.01 ) {
         pTol = "1%";
     }
+    else if ( quantumError > 0.001 ) {
+        pTol = "1%";
+    }
     if ( pTol ) {
         printf ( 
             "The epicsThreadSleepQuantum() call returns %f sec.\n",