diff --git a/modules/gapi/test/cpu/gapi_ocv_stateful_kernel_tests.cpp b/modules/gapi/test/cpu/gapi_ocv_stateful_kernel_tests.cpp
index 850b0e2e6c..b9985e1377 100644
--- a/modules/gapi/test/cpu/gapi_ocv_stateful_kernel_tests.cpp
+++ b/modules/gapi/test/cpu/gapi_ocv_stateful_kernel_tests.cpp
@@ -454,6 +454,13 @@ namespace
 
 TEST(StatefulKernel, StateIsInitViaCompArgsInStreaming)
 {
+    // This test is long as it runs BG subtractor (a) twice
+    // (in G-API + for reference) over (b) two files. In fact
+    // it is one more BG Subtractor accuracy test, but not
+    // a stateful initialization test -- the latter must be
+    // done through a light-weight mock object. So for now:
+    applyTestTag(CV_TEST_TAG_VERYLONG);
+
     // G-API graph declaration
     cv::GMat in;
     cv::GMat out = GBackSub::on(in);
diff --git a/modules/gapi/test/streaming/gapi_streaming_tests.cpp b/modules/gapi/test/streaming/gapi_streaming_tests.cpp
index bdb0ae9cd9..e50e11d5c8 100644
--- a/modules/gapi/test/streaming/gapi_streaming_tests.cpp
+++ b/modules/gapi/test/streaming/gapi_streaming_tests.cpp
@@ -716,14 +716,16 @@ TEST_P(GAPI_Streaming, SmokeTest_AutoMeta_VideoScalar)
     EXPECT_EQ(165u, test_frames);
 }
 
+// Instantiate tests with different backends, but default queue capacity
 INSTANTIATE_TEST_CASE_P(TestStreaming, GAPI_Streaming,
-                        Combine(Values(  KernelPackage::OCV
-                                    //, KernelPackage::OCL // FIXME: Fails bit-exactness check, maybe relax it?
-                                      , KernelPackage::OCV_FLUID
-                                    //, KernelPackage::OCL // FIXME: Fails bit-exactness check, maybe relax it?
-                                ),
-                                Values(cv::optional<size_t>{}, 1u, 4u))
-                        );
+                        Combine(Values( KernelPackage::OCV
+                                      , KernelPackage::OCV_FLUID),
+                                Values(cv::optional<size_t>{})));
+
+// Instantiate tests with the same backend but various queue capacity
+INSTANTIATE_TEST_CASE_P(TestStreaming_QC, GAPI_Streaming,
+                        Combine(Values(KernelPackage::OCV_FLUID),
+                                Values(1u, 4u)));
 
 namespace TypesTest
 {
diff --git a/modules/gapi/test/streaming/gapi_streaming_utils_test.cpp b/modules/gapi/test/streaming/gapi_streaming_utils_test.cpp
index 5599b8826f..764e2c3a51 100644
--- a/modules/gapi/test/streaming/gapi_streaming_utils_test.cpp
+++ b/modules/gapi/test/streaming/gapi_streaming_utils_test.cpp
@@ -245,6 +245,7 @@ TEST(OneVPL_ElasticBarrier, single_thread_visit)
 
 TEST(OneVPL_ElasticBarrier, multi_thread_visit)
 {
+    applyTestTag(CV_TEST_TAG_VERYLONG);
     TestBarrier tested_barrier;
 
     static const size_t max_visit_count = 10000000;