diff --git a/drivers/gpu/drm/amd/amdgpu/amdgpu_gfx.c b/drivers/gpu/drm/amd/amdgpu/amdgpu_gfx.c
index c485ec86804e..034a0f3b4c66 100644
--- a/drivers/gpu/drm/amd/amdgpu/amdgpu_gfx.c
+++ b/drivers/gpu/drm/amd/amdgpu/amdgpu_gfx.c
@@ -193,15 +193,16 @@ static bool amdgpu_gfx_is_multipipe_capable(struct amdgpu_device *adev)
 }
 
 bool amdgpu_gfx_is_high_priority_compute_queue(struct amdgpu_device *adev,
-					       int pipe, int queue)
+					       struct amdgpu_ring *ring)
 {
-	bool multipipe_policy = amdgpu_gfx_is_multipipe_capable(adev);
-	int cond;
-	/* Policy: alternate between normal and high priority */
-	cond = multipipe_policy ? pipe : queue;
-
-	return ((cond % 2) != 0);
+	/* Policy: use 1st queue as high priority compute queue if we
+	 * have more than one compute queue.
+	 */
+	if (adev->gfx.num_compute_rings > 1 &&
+	    ring == &adev->gfx.compute_ring[0])
+		return true;
 
+	return false;
 }
 
 void amdgpu_gfx_compute_queue_acquire(struct amdgpu_device *adev)
diff --git a/drivers/gpu/drm/amd/amdgpu/amdgpu_gfx.h b/drivers/gpu/drm/amd/amdgpu/amdgpu_gfx.h
index f353a5b71804..6e0cba6f4bdc 100644
--- a/drivers/gpu/drm/amd/amdgpu/amdgpu_gfx.h
+++ b/drivers/gpu/drm/amd/amdgpu/amdgpu_gfx.h
@@ -373,7 +373,7 @@ void amdgpu_queue_mask_bit_to_mec_queue(struct amdgpu_device *adev, int bit,
 bool amdgpu_gfx_is_mec_queue_enabled(struct amdgpu_device *adev, int mec,
 				     int pipe, int queue);
 bool amdgpu_gfx_is_high_priority_compute_queue(struct amdgpu_device *adev,
-					       int pipe, int queue);
+					       struct amdgpu_ring *ring);
 int amdgpu_gfx_me_queue_to_bit(struct amdgpu_device *adev, int me,
 			       int pipe, int queue);
 void amdgpu_gfx_bit_to_me_queue(struct amdgpu_device *adev, int bit,
diff --git a/drivers/gpu/drm/amd/amdgpu/gfx_v10_0.c b/drivers/gpu/drm/amd/amdgpu/gfx_v10_0.c
index 4ebb43e09099..4cc83b399b66 100644
--- a/drivers/gpu/drm/amd/amdgpu/gfx_v10_0.c
+++ b/drivers/gpu/drm/amd/amdgpu/gfx_v10_0.c
@@ -4334,8 +4334,7 @@ static int gfx_v10_0_compute_ring_init(struct amdgpu_device *adev, int ring_id,
 	irq_type = AMDGPU_CP_IRQ_COMPUTE_MEC1_PIPE0_EOP
 		+ ((ring->me - 1) * adev->gfx.mec.num_pipe_per_mec)
 		+ ring->pipe;
-	hw_prio = amdgpu_gfx_is_high_priority_compute_queue(adev, ring->pipe,
-							    ring->queue) ?
+	hw_prio = amdgpu_gfx_is_high_priority_compute_queue(adev, ring) ?
 			AMDGPU_GFX_PIPE_PRIO_HIGH : AMDGPU_GFX_PIPE_PRIO_NORMAL;
 	/* type-2 packets are deprecated on MEC, use type-3 instead */
 	r = amdgpu_ring_init(adev, ring, 1024,
@@ -6361,8 +6360,7 @@ static void gfx_v10_0_compute_mqd_set_priority(struct amdgpu_ring *ring, struct
 	struct amdgpu_device *adev = ring->adev;
 
 	if (ring->funcs->type == AMDGPU_RING_TYPE_COMPUTE) {
-		if (amdgpu_gfx_is_high_priority_compute_queue(adev, ring->pipe,
-							      ring->queue)) {
+		if (amdgpu_gfx_is_high_priority_compute_queue(adev, ring)) {
 			mqd->cp_hqd_pipe_priority = AMDGPU_GFX_PIPE_PRIO_HIGH;
 			mqd->cp_hqd_queue_priority =
 				AMDGPU_GFX_QUEUE_PRIORITY_MAXIMUM;
diff --git a/drivers/gpu/drm/amd/amdgpu/gfx_v8_0.c b/drivers/gpu/drm/amd/amdgpu/gfx_v8_0.c
index c36258d56b44..f2f603fa0288 100644
--- a/drivers/gpu/drm/amd/amdgpu/gfx_v8_0.c
+++ b/drivers/gpu/drm/amd/amdgpu/gfx_v8_0.c
@@ -1915,8 +1915,7 @@ static int gfx_v8_0_compute_ring_init(struct amdgpu_device *adev, int ring_id,
 		+ ((ring->me - 1) * adev->gfx.mec.num_pipe_per_mec)
 		+ ring->pipe;
 
-	hw_prio = amdgpu_gfx_is_high_priority_compute_queue(adev, ring->pipe,
-							    ring->queue) ?
+	hw_prio = amdgpu_gfx_is_high_priority_compute_queue(adev, ring) ?
 			AMDGPU_GFX_PIPE_PRIO_HIGH : AMDGPU_RING_PRIO_DEFAULT;
 	/* type-2 packets are deprecated on MEC, use type-3 instead */
 	r = amdgpu_ring_init(adev, ring, 1024,
@@ -4434,8 +4433,7 @@ static void gfx_v8_0_mqd_set_priority(struct amdgpu_ring *ring, struct vi_mqd *m
 	struct amdgpu_device *adev = ring->adev;
 
 	if (ring->funcs->type == AMDGPU_RING_TYPE_COMPUTE) {
-		if (amdgpu_gfx_is_high_priority_compute_queue(adev, ring->pipe,
-							      ring->queue)) {
+		if (amdgpu_gfx_is_high_priority_compute_queue(adev, ring)) {
 			mqd->cp_hqd_pipe_priority = AMDGPU_GFX_PIPE_PRIO_HIGH;
 			mqd->cp_hqd_queue_priority =
 				AMDGPU_GFX_QUEUE_PRIORITY_MAXIMUM;
diff --git a/drivers/gpu/drm/amd/amdgpu/gfx_v9_0.c b/drivers/gpu/drm/amd/amdgpu/gfx_v9_0.c
index 957c12b72767..fa843bda70ba 100644
--- a/drivers/gpu/drm/amd/amdgpu/gfx_v9_0.c
+++ b/drivers/gpu/drm/amd/amdgpu/gfx_v9_0.c
@@ -2228,8 +2228,7 @@ static int gfx_v9_0_compute_ring_init(struct amdgpu_device *adev, int ring_id,
 	irq_type = AMDGPU_CP_IRQ_COMPUTE_MEC1_PIPE0_EOP
 		+ ((ring->me - 1) * adev->gfx.mec.num_pipe_per_mec)
 		+ ring->pipe;
-	hw_prio = amdgpu_gfx_is_high_priority_compute_queue(adev, ring->pipe,
-							    ring->queue) ?
+	hw_prio = amdgpu_gfx_is_high_priority_compute_queue(adev, ring) ?
 			AMDGPU_GFX_PIPE_PRIO_HIGH : AMDGPU_GFX_PIPE_PRIO_NORMAL;
 	/* type-2 packets are deprecated on MEC, use type-3 instead */
 	return amdgpu_ring_init(adev, ring, 1024,
@@ -3384,9 +3383,7 @@ static void gfx_v9_0_mqd_set_priority(struct amdgpu_ring *ring, struct v9_mqd *m
 	struct amdgpu_device *adev = ring->adev;
 
 	if (ring->funcs->type == AMDGPU_RING_TYPE_COMPUTE) {
-		if (amdgpu_gfx_is_high_priority_compute_queue(adev,
-							      ring->pipe,
-							      ring->queue)) {
+		if (amdgpu_gfx_is_high_priority_compute_queue(adev, ring)) {
 			mqd->cp_hqd_pipe_priority = AMDGPU_GFX_PIPE_PRIO_HIGH;
 			mqd->cp_hqd_queue_priority =
 				AMDGPU_GFX_QUEUE_PRIORITY_MAXIMUM;
