diff --git a/sql-plugin/src/main/scala/com/nvidia/spark/rapids/GpuSemaphore.scala b/sql-plugin/src/main/scala/com/nvidia/spark/rapids/GpuSemaphore.scala
index f0089b226d5..78d05efb0c2 100644
--- a/sql-plugin/src/main/scala/com/nvidia/spark/rapids/GpuSemaphore.scala
+++ b/sql-plugin/src/main/scala/com/nvidia/spark/rapids/GpuSemaphore.scala
@@ -280,7 +280,7 @@ private final class SemaphoreTaskInfo(val taskAttemptId: Long) extends Logging {
     }
   }
 
-  def tryAcquire(semaphore: GpuBackingSemaphore): Boolean = synchronized {
+  def tryAcquire(semaphore: GpuBackingSemaphore, taskAttemptId: Long): Boolean = synchronized {
     val t = Thread.currentThread()
     if (hasSemaphore) {
       activeThreads.add(t)
@@ -288,7 +288,7 @@ private final class SemaphoreTaskInfo(val taskAttemptId: Long) extends Logging {
     } else {
       if (blockedThreads.size() == 0) {
         // No other threads for this task are waiting, so we might be able to grab this directly
-        val ret = semaphore.tryAcquire(numPermits, lastHeld)
+        val ret = semaphore.tryAcquire(numPermits, lastHeld, taskAttemptId)
         if (ret) {
           hasSemaphore = true
           activeThreads.add(t)
@@ -335,7 +335,7 @@ private final class GpuSemaphore() extends Logging {
       onTaskCompletion(context, completeTask)
       new SemaphoreTaskInfo(taskAttemptId)
     })
-    if (taskInfo.tryAcquire(semaphore)) {
+    if (taskInfo.tryAcquire(semaphore, taskAttemptId)) {
       GpuDeviceManager.initializeFromTask()
       SemaphoreAcquired
     } else {
diff --git a/sql-plugin/src/main/scala/com/nvidia/spark/rapids/PrioritySemaphore.scala b/sql-plugin/src/main/scala/com/nvidia/spark/rapids/PrioritySemaphore.scala
index cdee5ab1c79..dc90382d3a0 100644
--- a/sql-plugin/src/main/scala/com/nvidia/spark/rapids/PrioritySemaphore.scala
+++ b/sql-plugin/src/main/scala/com/nvidia/spark/rapids/PrioritySemaphore.scala
@@ -31,21 +31,26 @@ class PrioritySemaphore[T](val maxPermits: Int)(implicit ordering: Ordering[T])
     var signaled: Boolean = false
   }
 
+  // use task id as tie breaker when priorities are equal (both are 0 because never hold lock)
+  private val priorityComp = Ordering.by[ThreadInfo, T](_.priority).reverse.
+    thenComparing((a, b) => a.taskId.compareTo(b.taskId))
+
   // We expect a relatively small number of threads to be contending for this lock at any given
   // time, therefore we are not concerned with the insertion/removal time complexity.
   private val waitingQueue: PriorityQueue[ThreadInfo] =
-    new PriorityQueue[ThreadInfo](
-      // use task id as tie breaker when priorities are equal (both are 0 because never hold lock)
-      Ordering.by[ThreadInfo, T](_.priority).reverse.
-        thenComparing((a, b) => a.taskId.compareTo(b.taskId))
-    )
+    new PriorityQueue[ThreadInfo](priorityComp)
 
-  def tryAcquire(numPermits: Int, priority: T): Boolean = {
+  def tryAcquire(numPermits: Int, priority: T, taskAttemptId: Long): Boolean = {
     lock.lock()
     try {
-      if (waitingQueue.size() > 0 && ordering.gt(waitingQueue.peek.priority, priority)) {
+      if (waitingQueue.size() > 0 &&
+        priorityComp.compare(
+          waitingQueue.peek(),
+          ThreadInfo(priority, null, numPermits, taskAttemptId)
+        ) < 0) {
         false
-      } else if (!canAcquire(numPermits)) {
+      }
+      else if (!canAcquire(numPermits)) {
         false
       } else {
         commitAcquire(numPermits)
@@ -59,7 +64,7 @@ class PrioritySemaphore[T](val maxPermits: Int)(implicit ordering: Ordering[T])
   def acquire(numPermits: Int, priority: T, taskAttemptId: Long): Unit = {
     lock.lock()
     try {
-      if (!tryAcquire(numPermits, priority)) {
+      if (!tryAcquire(numPermits, priority, taskAttemptId)) {
         val condition = lock.newCondition()
         val info = ThreadInfo(priority, condition, numPermits, taskAttemptId)
         try {
diff --git a/tests/src/test/scala/com/nvidia/spark/rapids/PrioritySemaphoreSuite.scala b/tests/src/test/scala/com/nvidia/spark/rapids/PrioritySemaphoreSuite.scala
index cd9660a5de5..7199aa55df6 100644
--- a/tests/src/test/scala/com/nvidia/spark/rapids/PrioritySemaphoreSuite.scala
+++ b/tests/src/test/scala/com/nvidia/spark/rapids/PrioritySemaphoreSuite.scala
@@ -26,16 +26,16 @@ class PrioritySemaphoreSuite extends AnyFunSuite {
   test("tryAcquire should return true if permits are available") {
     val semaphore = new TestPrioritySemaphore(10)
 
-    assert(semaphore.tryAcquire(5, 0))
-    assert(semaphore.tryAcquire(3, 0))
-    assert(semaphore.tryAcquire(2, 0))
-    assert(!semaphore.tryAcquire(1, 0))
+    assert(semaphore.tryAcquire(5, 0, 0))
+    assert(semaphore.tryAcquire(3, 0, 0))
+    assert(semaphore.tryAcquire(2, 0, 0))
+    assert(!semaphore.tryAcquire(1, 0, 0))
   }
 
   test("acquire and release should work correctly") {
     val semaphore = new TestPrioritySemaphore(1)
 
-    assert(semaphore.tryAcquire(1, 0))
+    assert(semaphore.tryAcquire(1, 0, 0))
 
     val t = new Thread(() => {
       try {
@@ -94,10 +94,36 @@ class PrioritySemaphoreSuite extends AnyFunSuite {
 
     // Here, there should be 5 available permits, but a thread with higher priority (2)
     // is waiting to acquire, therefore we should get rejected here
-    assert(!semaphore.tryAcquire(5, 0))
+    assert(!semaphore.tryAcquire(5, 0, 0))
     semaphore.release(5)
     t.join(1000)
     // After the high priority thread finishes, we can acquire with lower priority
-    assert(semaphore.tryAcquire(5, 0))
+    assert(semaphore.tryAcquire(5, 0, 0))
+  }
+
+  // this case is described at https://github.com/NVIDIA/spark-rapids/pull/11574/files#r1795652488
+  test("thread with larger task id should not surpass smaller task id in the waiting queue") {
+    val semaphore = new TestPrioritySemaphore(10)
+    semaphore.acquire(8, 0, 0)
+    val t = new Thread(() => {
+      semaphore.acquire(5, 0, 0)
+      semaphore.release(5)
+    })
+    t.start()
+    Thread.sleep(100)
+
+    // Here, there should be 2 available permits, and a thread with same task id (0)
+    // is waiting to acquire 5 permits, in this case we should succeed here
+    assert(semaphore.tryAcquire(2, 0, 0))
+    semaphore.release(2)
+
+    // Here, there should be 2 available permits, but a thread with smaller task id (0)
+    // is waiting to acquire, therefore we should get rejected here
+    assert(!semaphore.tryAcquire(2, 0, 1))
+
+    semaphore.release(8)
+    t.join(1000)
+    // After the high priority thread finishes, we can acquire with lower priority
+    assert(semaphore.tryAcquire(2, 0, 1))
   }
 }