diff --git a/core/src/main/scala/kafka/server/KafkaConfig.scala b/core/src/main/scala/kafka/server/KafkaConfig.scala
index 15eb5d9b4663a..928eb2d4e4731 100755
--- a/core/src/main/scala/kafka/server/KafkaConfig.scala
+++ b/core/src/main/scala/kafka/server/KafkaConfig.scala
@@ -922,7 +922,7 @@ object KafkaConfig {
   val LogRollTimeJitterMillisDoc = "The maximum jitter to subtract from logRollTimeMillis (in milliseconds). If not set, the value in " + LogRollTimeJitterHoursProp + " is used"
   val LogRollTimeJitterHoursDoc = "The maximum jitter to subtract from logRollTimeMillis (in hours), secondary to " + LogRollTimeJitterMillisProp + " property"
 
-  val LiMinLogRollTimeMillisDoc = "The minimum interval (in milliseconds) between new segment rolling out."
+  val LiMinLogRollTimeMillisDoc = "The minimum interval (in milliseconds) before a log segment can be forced to roll over due to time-based rolling. Segments may still roll faster due to size limits."
 
   val LogRetentionTimeMillisDoc = "The number of milliseconds to keep a log file before deleting it (in milliseconds), If not set, the value in " + LogRetentionTimeMinutesProp + " is used. If set to -1, no time limit is applied."
   val LogRetentionTimeMinsDoc = "The number of minutes to keep a log file before deleting it (in minutes), secondary to " + LogRetentionTimeMillisProp + " property. If not set, the value in " + LogRetentionTimeHoursProp + " is used"
diff --git a/core/src/test/scala/unit/kafka/log/LogTest.scala b/core/src/test/scala/unit/kafka/log/LogTest.scala
index 014b3d31723df..23ecbd45ed3a9 100755
--- a/core/src/test/scala/unit/kafka/log/LogTest.scala
+++ b/core/src/test/scala/unit/kafka/log/LogTest.scala
@@ -541,7 +541,7 @@ class LogTest {
   @Test
   def testTimeBasedLogRoll(): Unit = {
     def createRecords = TestUtils.singletonRecords("test".getBytes)
-    val logConfig = LogTestUtils.createLogConfig(segmentMs = 1 * 60 * 60L)
+    val logConfig = LogTestUtils.createLogConfig(segmentMs = 1 * 60 * 60L, liMinSegmentRollMs = 0L)
 
     // create a log
     val log = createLog(logDir, logConfig, maxProducerIdExpirationMs = 24 * 60)
@@ -1665,7 +1665,7 @@ class LogTest {
     var set = TestUtils.singletonRecords(value = "test".getBytes, timestamp = mockTime.milliseconds)
     val maxJitter = 20 * 60L
     // create a log
-    val logConfig = LogTestUtils.createLogConfig(segmentMs = 1 * 60 * 60L, segmentJitterMs = maxJitter)
+    val logConfig = LogTestUtils.createLogConfig(segmentMs = 1 * 60 * 60L, segmentJitterMs = maxJitter, liMinSegmentRollMs = 0L)
     val log = createLog(logDir, logConfig)
     assertEquals(1, log.numberOfSegments, "Log begins with a single empty segment.")
     log.appendAsLeader(set, leaderEpoch = 0)
@@ -1682,6 +1682,38 @@ class LogTest {
       "Log should roll after segmentMs adjusted by random jitter")
   }
 
+  /**
+   * Test for jitter s for time based log roll with liMinSegmentRollMs not 0
+   */
+  @Test
+  def testTimeBasedLogRollJitterWithMinSegmentRollMs(): Unit = {
+    var set = TestUtils.singletonRecords(value = "test".getBytes, timestamp = mockTime.milliseconds)
+    val maxJitter = 20 * 60L
+    // create a log
+    val logConfig = LogTestUtils.createLogConfig(segmentMs = 1 * 60 * 60L, segmentJitterMs = maxJitter,
+      liMinSegmentRollMs = 10 * 60 * 60L)
+    val log = createLog(logDir, logConfig)
+    assertEquals(1, log.numberOfSegments, "Log begins with a single empty segment.")
+    log.appendAsLeader(set, leaderEpoch = 0)
+
+    mockTime.sleep(log.config.segmentMs - maxJitter)
+    set = TestUtils.singletonRecords(value = "test".getBytes, timestamp = mockTime.milliseconds)
+    log.appendAsLeader(set, leaderEpoch = 0)
+    assertEquals(1, log.numberOfSegments,
+      "Log does not roll on this append because it occurs earlier than max jitter")
+    mockTime.sleep(maxJitter - log.activeSegment.rollJitterMs + 1)
+    set = TestUtils.singletonRecords(value = "test".getBytes, timestamp = mockTime.milliseconds)
+    log.appendAsLeader(set, leaderEpoch = 0)
+    assertEquals(1, log.numberOfSegments,
+      "Log should not roll before liMinSegmentRollMs")
+
+    mockTime.sleep(log.config.liMinSegmentRollMs)
+    set = TestUtils.singletonRecords(value = "test".getBytes, timestamp = mockTime.milliseconds)
+    log.appendAsLeader(set, leaderEpoch = 0)
+    assertEquals(2, log.numberOfSegments,
+      "Log should roll as it passes liMinSegmentRollMs")
+  }
+
   /**
    * Test that appending more than the maximum segment size rolls the log
    */
diff --git a/core/src/test/scala/unit/kafka/log/LogTestUtils.scala b/core/src/test/scala/unit/kafka/log/LogTestUtils.scala
index 5b4edbcdd3b69..f851f1e054b52 100644
--- a/core/src/test/scala/unit/kafka/log/LogTestUtils.scala
+++ b/core/src/test/scala/unit/kafka/log/LogTestUtils.scala
@@ -20,7 +20,7 @@ package kafka.log
 import java.io.File
 import java.util.Properties
 import kafka.server.checkpoints.LeaderEpochCheckpointFile
-import kafka.server.{BrokerTopicStats, FetchDataInfo, FetchIsolation, FetchLogEnd, LogDirFailureChannel}
+import kafka.server.{BrokerTopicStats, FetchDataInfo, FetchIsolation, FetchLogEnd, KafkaConfig, LogDirFailureChannel}
 import kafka.utils.{Scheduler, TestUtils}
 import org.apache.kafka.common.Uuid
 import org.apache.kafka.common.record.{CompressionType, ControlRecordType, EndTransactionMarker, FileRecords, MemoryRecords, RecordBatch, SimpleRecord}
@@ -48,6 +48,7 @@ object LogTestUtils {
 
   def createLogConfig(segmentMs: Long = Defaults.SegmentMs,
                       segmentBytes: Int = Defaults.SegmentSize,
+                      liMinSegmentRollMs: Long = Defaults.LiMinSegmentRollMs,
                       retentionMs: Long = Defaults.RetentionMs,
                       retentionBytes: Long = Defaults.RetentionSize,
                       localRetentionMs: Long = Defaults.LocalRetentionMs,
@@ -75,6 +76,7 @@ object LogTestUtils {
     logProps.put(LogConfig.RemoteLogStorageEnableProp, remoteLogStorageEnable: java.lang.Boolean)
     logProps.put(LogConfig.LocalLogRetentionMsProp, localRetentionMs: java.lang.Long)
     logProps.put(LogConfig.LocalLogRetentionBytesProp, localRetentionBytes: java.lang.Long)
+    logProps.put(KafkaConfig.LiMinLogRollTimeMillisProp, liMinSegmentRollMs: java.lang.Long)
     LogConfig(logProps)
   }