diff --git a/server/src/main/java/org/opensearch/index/remote/RemoteSegmentTransferTracker.java b/server/src/main/java/org/opensearch/index/remote/RemoteSegmentTransferTracker.java
index f1843ea3eef38..a29bd1d840b43 100644
--- a/server/src/main/java/org/opensearch/index/remote/RemoteSegmentTransferTracker.java
+++ b/server/src/main/java/org/opensearch/index/remote/RemoteSegmentTransferTracker.java
@@ -65,7 +65,7 @@ public class RemoteSegmentTransferTracker extends RemoteTransferTracker {
     private volatile long remoteRefreshSeqNo;
 
     /**
-     * The refresh time of most recent remote refresh.
+     * The refresh time of the most recent remote refresh.
      */
     private volatile long remoteRefreshTimeMs;
 
@@ -76,7 +76,7 @@ public class RemoteSegmentTransferTracker extends RemoteTransferTracker {
     private volatile long remoteRefreshStartTimeMs = -1;
 
     /**
-     * The refresh time(clock) of most recent remote refresh.
+     * The refresh time(clock) of the most recent remote refresh.
      */
     private volatile long remoteRefreshClockTimeMs;
 
diff --git a/server/src/test/java/org/opensearch/index/remote/RemoteSegmentTransferTrackerTests.java b/server/src/test/java/org/opensearch/index/remote/RemoteSegmentTransferTrackerTests.java
index 1ec1e9977a9d5..02d6a06d33b50 100644
--- a/server/src/test/java/org/opensearch/index/remote/RemoteSegmentTransferTrackerTests.java
+++ b/server/src/test/java/org/opensearch/index/remote/RemoteSegmentTransferTrackerTests.java
@@ -154,13 +154,13 @@ public void testComputeTimeLagOnUpdate() throws InterruptedException {
         transferTracker.updateLatestLocalFileNameLengthMap(List.of("test"), k -> 1L);
         // Sleep for 100ms and then the lag should be within 100ms +/- 20ms
         Thread.sleep(100);
-        assertTrue(Math.abs(transferTracker.getTimeMsLag() - 100) <= 20);
+        assertTrue(transferTracker.getTimeMsLag() >= 100);
 
         transferTracker.updateRemoteRefreshTimeMs(transferTracker.getLocalRefreshTimeMs());
         transferTracker.updateLocalRefreshTimeMs(currentTimeMsUsingSystemNanos());
         long random = randomIntBetween(50, 200);
         Thread.sleep(random);
-        assertTrue(Math.abs(transferTracker.getTimeMsLag() - random) <= 20);
+        assertTrue(transferTracker.getTimeMsLag() >= random);
     }
 
     public void testAddUploadBytesStarted() {