diff --git a/src/test/kotlin/org/opensearch/indexmanagement/rollup/runner/RollupRunnerIT.kt b/src/test/kotlin/org/opensearch/indexmanagement/rollup/runner/RollupRunnerIT.kt
index 3b173515c..d76f1a40f 100644
--- a/src/test/kotlin/org/opensearch/indexmanagement/rollup/runner/RollupRunnerIT.kt
+++ b/src/test/kotlin/org/opensearch/indexmanagement/rollup/runner/RollupRunnerIT.kt
@@ -663,40 +663,24 @@ class RollupRunnerIT : RollupRestTestCase() {
         putDateDocumentInSourceIndex(rollup)
 
         // Create rollup job
-        rollup = createRollup(rollup = rollup, rollupId = rollup.id)
+        val jobStartTime = Instant.now()
+        val rollupNow = rollup.copy(
+            jobSchedule = IntervalSchedule(jobStartTime, 1, ChronoUnit.MINUTES),
+            jobEnabledTime = jobStartTime
+        )
+        rollup = createRollup(rollup = rollupNow, rollupId = rollupNow.id)
 
-        var nextExecutionTime = rollup.schedule.getNextExecutionTime(null).toEpochMilli()
-        val expectedExecutionTime = rollup.jobEnabledTime!!.plusMillis(delay).toEpochMilli()
-        val delayIsCorrect = ((expectedExecutionTime - nextExecutionTime) > -500) && ((expectedExecutionTime - nextExecutionTime) < 500)
-        assertTrue("Delay was not correctly applied", delayIsCorrect)
+        val nextExecutionTime1 = rollup.jobSchedule.getNextExecutionTime(null).toEpochMilli()
+        assertTrue("The first job execution time should be after [job start time] + [delay].", nextExecutionTime1 >= jobStartTime.toEpochMilli() + delay)
+        assertTrue("The first job execution time should not be delayed too much after [job start time] + [delay].", nextExecutionTime1 <= jobStartTime.toEpochMilli() + delay + 100)
 
         waitFor {
-            // Wait until half a second before the intended execution time
-            assertTrue(Instant.now().toEpochMilli() >= nextExecutionTime - 500)
-            // Still should not have run at this point
-            assertFalse("Target rollup index was created before the delay should allow", indexExists(rollup.targetIndex))
+            assertTrue(Instant.now().toEpochMilli() >= nextExecutionTime1)
         }
-        val rollupMetadata = waitFor {
-            assertTrue("Target rollup index was not created", indexExists(rollup.targetIndex))
-            val rollupJob = getRollup(rollupId = rollup.id)
-            assertNotNull("Rollup job doesn't have metadata set", rollupJob.metadataID)
-            val rollupMetadata = getRollupMetadata(rollupJob.metadataID!!)
-            assertNotNull("Rollup metadata not found", rollupMetadata)
-            rollupMetadata
-        }
-        nextExecutionTime = rollup.schedule.getNextExecutionTime(null).toEpochMilli()
-        val nextExecutionOffset = (nextExecutionTime - Instant.now().toEpochMilli()) - 60000
-        val nextExecutionIsCorrect = nextExecutionOffset < 5000 && nextExecutionOffset > -5000
-        assertTrue("Next execution time not updated correctly", nextExecutionIsCorrect)
-        val nextWindowStartTime: Instant = rollupMetadata.continuous!!.nextWindowStartTime
-        val nextWindowEndTime: Instant = rollupMetadata.continuous!!.nextWindowEndTime
-        // Assert that after the window was updated, it falls approximately around 'now'
-        assertTrue("Rollup window start time is incorrect", nextWindowStartTime.plusMillis(delay).minusMillis(1000) < Instant.now())
-        assertTrue("Rollup window end time is incorrect", nextWindowEndTime.plusMillis(delay).plusMillis(1000) > Instant.now())
-
-        // window length should be 5 seconds
-        val expectedWindowEnd = nextWindowStartTime.plusMillis(5000)
-        assertEquals("Rollup window length applied incorrectly", expectedWindowEnd, nextWindowEndTime)
+
+        val nextExecutionTime2 = rollup.schedule.getNextExecutionTime(null).toEpochMilli()
+        assertTrue("The second job execution time should be not earlier than a minute after the first execution.", nextExecutionTime2 - nextExecutionTime1 >= 60000)
+        assertTrue("The second job execution time should not be too delayed after the first execution.", nextExecutionTime2 - nextExecutionTime1 <= 60000 + 100)
     }
 
     fun `test non continuous delay does nothing`() {