diff --git a/src/main/kotlin/org/opensearch/indexmanagement/rollup/model/Rollup.kt b/src/main/kotlin/org/opensearch/indexmanagement/rollup/model/Rollup.kt
index c45c1d71b..9cf07f9b8 100644
--- a/src/main/kotlin/org/opensearch/indexmanagement/rollup/model/Rollup.kt
+++ b/src/main/kotlin/org/opensearch/indexmanagement/rollup/model/Rollup.kt
@@ -330,7 +330,7 @@ data class Rollup(
             // TODO: Make startTime public in Job Scheduler so we can just directly check the value
             if (seqNo == SequenceNumbers.UNASSIGNED_SEQ_NO || primaryTerm == SequenceNumbers.UNASSIGNED_PRIMARY_TERM) {
                 if (schedule is IntervalSchedule) {
-                    schedule = IntervalSchedule(Instant.now(), schedule.interval, schedule.unit, schedule.delay ?: 0)
+                    schedule = IntervalSchedule(schedule.startTime, schedule.interval, schedule.unit, schedule.delay ?: 0)
                 }
             }
             return Rollup(
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 e34dd687e..65f18a1dd 100644
--- a/src/test/kotlin/org/opensearch/indexmanagement/rollup/runner/RollupRunnerIT.kt
+++ b/src/test/kotlin/org/opensearch/indexmanagement/rollup/runner/RollupRunnerIT.kt
@@ -639,7 +639,7 @@ class RollupRunnerIT : RollupRestTestCase() {
     // Tests that a continuous rollup will not be processed until the end of the interval plus delay passes
     fun `test delaying continuous execution`() {
         val indexName = "test_index_runner_eighth"
-        val delay: Long = 15000
+        val delay: Long = 7_500
         // Define rollup
         var rollup = randomRollup().copy(
             id = "$testName-4",
@@ -663,40 +663,29 @@ 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 expectedFirstExecutionTime = rollup.jobSchedule.getNextExecutionTime(null).toEpochMilli()
+        assertTrue("The first job execution time should be equal [job start time] + [delay].", expectedFirstExecutionTime == jobStartTime.toEpochMilli() + delay)
 
-        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))
-        }
-        val rollupMetadata = waitFor {
+        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 now = Instant.now().toEpochMilli()
+        assertTrue("The first job execution must happen after [job start time] + [delay]", now > jobStartTime.toEpochMilli() + delay)
+
+        val secondExecutionTime = rollup.schedule.getNextExecutionTime(null).toEpochMilli()
+        assertTrue("The second job execution time should be not earlier than a minute after the first execution.", secondExecutionTime - expectedFirstExecutionTime == 60_000L)
     }
 
     fun `test non continuous delay does nothing`() {