diff --git a/sdk/storage/Azure.Storage.Blobs.ChangeFeed/src/BlobChangeFeedExtensions.cs b/sdk/storage/Azure.Storage.Blobs.ChangeFeed/src/BlobChangeFeedExtensions.cs
index db2823badacc..d36ec0fb6cb5 100644
--- a/sdk/storage/Azure.Storage.Blobs.ChangeFeed/src/BlobChangeFeedExtensions.cs
+++ b/sdk/storage/Azure.Storage.Blobs.ChangeFeed/src/BlobChangeFeedExtensions.cs
@@ -87,6 +87,11 @@ public static BlobChangeFeedClient GetChangeFeedClient(this BlobServiceClient se
                 return null;
             }
 
+            if (dateTimeOffset.Value.Minute == 0 && dateTimeOffset.Value.Second == 0 && dateTimeOffset.Value.Millisecond == 0)
+            {
+                return dateTimeOffset;
+            }
+
             DateTimeOffset? newDateTimeOffest = dateTimeOffset.RoundDownToNearestHour();
 
             return newDateTimeOffest.Value.AddHours(1);
diff --git a/sdk/storage/Azure.Storage.Blobs.ChangeFeed/tests/BlobChangeFeedExtensionsTests.cs b/sdk/storage/Azure.Storage.Blobs.ChangeFeed/tests/BlobChangeFeedExtensionsTests.cs
index 631633df5223..72ed2ca588d2 100644
--- a/sdk/storage/Azure.Storage.Blobs.ChangeFeed/tests/BlobChangeFeedExtensionsTests.cs
+++ b/sdk/storage/Azure.Storage.Blobs.ChangeFeed/tests/BlobChangeFeedExtensionsTests.cs
@@ -86,6 +86,12 @@ public void RoundUpToNearestHourTests()
                 (new DateTimeOffset?(
                     new DateTimeOffset(2020, 03, 17, 20, 25, 30, TimeSpan.Zero))).RoundUpToNearestHour());
 
+            Assert.AreEqual(
+                new DateTimeOffset?(
+                    new DateTimeOffset(2020, 03, 17, 21, 0, 0, TimeSpan.Zero)),
+                (new DateTimeOffset?(
+                    new DateTimeOffset(2020, 03, 17, 21, 0, 0, TimeSpan.Zero))).RoundUpToNearestHour());
+
             Assert.AreEqual(
                 null,
                 ((DateTimeOffset?)null).RoundUpToNearestHour());