diff --git a/sycl/test-e2e/Matrix/SG32/get_coordinate_ops.cpp b/sycl/test-e2e/Matrix/SG32/get_coordinate_ops.cpp
index 9553a95fa99ca..445e7ecd8d5e1 100644
--- a/sycl/test-e2e/Matrix/SG32/get_coordinate_ops.cpp
+++ b/sycl/test-e2e/Matrix/SG32/get_coordinate_ops.cpp
@@ -15,9 +15,6 @@
 // REQUIRES: aspect-ext_intel_matrix
 // REQUIRES-INTEL-DRIVER: lin: 30049, win: 101.4943
 
-// XFAIL: arch-intel_gpu_pvc
-// XFAIL-TRACKER: GSD-10524
-
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 
diff --git a/sycl/test-e2e/Matrix/SG32/joint_matrix_int8_colmajorA_colmajorB.cpp b/sycl/test-e2e/Matrix/SG32/joint_matrix_int8_colmajorA_colmajorB.cpp
index f07176df80fee..dea638cc07a44 100644
--- a/sycl/test-e2e/Matrix/SG32/joint_matrix_int8_colmajorA_colmajorB.cpp
+++ b/sycl/test-e2e/Matrix/SG32/joint_matrix_int8_colmajorA_colmajorB.cpp
@@ -18,9 +18,12 @@
 // This tests support of col major layout for matrix B which does transpose and
 // then VNNI transform. This is currently only available on AMX
 
-// XFAIL: gpu
+// XFAIL: arch-intel_gpu_bmg_g21
 // XFAIL-TRACKER: GSD-5768
 
+// UNSUPPORTED: gpu-intel-dg2
+// UNSUPPORTED-INTENDED: SG size = 32 is not currently supported for SYCL Joint Matrix by IGC on DG2
+
 #include "common.hpp"
 
 using namespace sycl;
diff --git a/sycl/test-e2e/Matrix/joint_matrix_int8_colmajorA_colmajorB.cpp b/sycl/test-e2e/Matrix/joint_matrix_int8_colmajorA_colmajorB.cpp
index 0950798a45233..0480469664fef 100644
--- a/sycl/test-e2e/Matrix/joint_matrix_int8_colmajorA_colmajorB.cpp
+++ b/sycl/test-e2e/Matrix/joint_matrix_int8_colmajorA_colmajorB.cpp
@@ -17,7 +17,7 @@
 // This tests support of col major layout for matrix B which does transpose and
 // then VNNI transform. This is currently only available on AMX
 
-// XFAIL: gpu
+// XFAIL: gpu-intel-dg2 || arch-intel_gpu_bmg_g21
 // XFAIL-TRACKER: GSD-5768
 
 #include "common.hpp"