diff --git a/modules/dnn/src/layers/pooling_layer.cpp b/modules/dnn/src/layers/pooling_layer.cpp
index 060bf9674e..380178d576 100644
--- a/modules/dnn/src/layers/pooling_layer.cpp
+++ b/modules/dnn/src/layers/pooling_layer.cpp
@@ -162,6 +162,8 @@ public:
     {
         if (backendId == DNN_BACKEND_INFERENCE_ENGINE)
         {
+            if (computeMaxIdx)
+                return false;
 #ifdef HAVE_INF_ENGINE
             if (kernel_size.size() == 3)
                 return preferableTarget == DNN_TARGET_CPU;
diff --git a/modules/dnn/test/test_onnx_importer.cpp b/modules/dnn/test/test_onnx_importer.cpp
index e71a4d6d31..0d92c8d75c 100644
--- a/modules/dnn/test/test_onnx_importer.cpp
+++ b/modules/dnn/test/test_onnx_importer.cpp
@@ -86,8 +86,8 @@ TEST_P(Test_ONNX_layers, InstanceNorm)
 
 TEST_P(Test_ONNX_layers, MaxPooling)
 {
-    testONNXModels("maxpooling");
-    testONNXModels("two_maxpooling");
+    testONNXModels("maxpooling", npy, 0, 0, false, false);
+    testONNXModels("two_maxpooling", npy, 0, 0, false, false);
 }
 
 TEST_P(Test_ONNX_layers, Convolution)
@@ -212,7 +212,7 @@ TEST_P(Test_ONNX_layers, MaxPooling3D)
 #endif
     if (target != DNN_TARGET_CPU)
         throw SkipTestException("Only CPU is supported");
-    testONNXModels("max_pool3d");
+    testONNXModels("max_pool3d", npy, 0, 0, false, false);
 }
 
 TEST_P(Test_ONNX_layers, AvePooling3D)
diff --git a/modules/dnn/test/test_torch_importer.cpp b/modules/dnn/test/test_torch_importer.cpp
index de81093d8d..3e0ab75bee 100644
--- a/modules/dnn/test/test_torch_importer.cpp
+++ b/modules/dnn/test/test_torch_importer.cpp
@@ -337,9 +337,15 @@ TEST_P(Test_Torch_nets, ENet_accuracy)
 {
     applyTestTag(target == DNN_TARGET_CPU ? "" : CV_TEST_TAG_MEMORY_512MB);
     checkBackend();
-    if (backend == DNN_BACKEND_INFERENCE_ENGINE ||
-        (backend == DNN_BACKEND_OPENCV && target == DNN_TARGET_OPENCL_FP16))
-        applyTestTag(target == DNN_TARGET_OPENCL ? CV_TEST_TAG_DNN_SKIP_IE_OPENCL : CV_TEST_TAG_DNN_SKIP_IE_OPENCL_FP16);
+    if (backend == DNN_BACKEND_OPENCV && target == DNN_TARGET_OPENCL_FP16)
+        throw SkipTestException("");
+    if (backend == DNN_BACKEND_INFERENCE_ENGINE && target != DNN_TARGET_CPU)
+    {
+        if (target == DNN_TARGET_OPENCL_FP16) applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_OPENCL_FP16);
+        if (target == DNN_TARGET_OPENCL)      applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_OPENCL);
+        if (target == DNN_TARGET_MYRIAD)      applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_MYRIAD);
+        throw SkipTestException("");
+    }
 
     Net net;
     {