diff --git a/sycl/test/hier_par/hier_par_wgscope_O0.cpp b/sycl/test/hier_par/hier_par_wgscope_O0.cpp
index 03370878c7cda..0f7a245f98438 100644
--- a/sycl/test/hier_par/hier_par_wgscope_O0.cpp
+++ b/sycl/test/hier_par/hier_par_wgscope_O0.cpp
@@ -13,7 +13,7 @@
 // RUN: %GPU_RUN_PLACEHOLDER %t.out
 // RUN: %ACC_RUN_PLACEHOLDER %t.out
 
-// UNSUPPORTED: accelerator || (system-windows && cpu)
+// XFAIL: system-windows && cpu
 
 // This test checks correctness of hierarchical kernel execution when there is
 // code and data in the work group scope, and when the test is compiled with
diff --git a/sycl/test/sub_group/generic-shuffle.cpp b/sycl/test/sub_group/generic-shuffle.cpp
index 6b471d4b85ade..8bd30578fdd61 100644
--- a/sycl/test/sub_group/generic-shuffle.cpp
+++ b/sycl/test/sub_group/generic-shuffle.cpp
@@ -1,5 +1,6 @@
 // UNSUPPORTED: cuda || cpu
 // CUDA compilation and runtime do not yet support sub-groups.
+// #2245 failed on OpenCL CPU (2020.10.7.0.15) with avx2 instruction set
 //
 // RUN: %clangxx -fsycl -fsycl-targets=%sycl_triple %s -o %t.out
 // RUN: env SYCL_DEVICE_TYPE=HOST %t.out