diff --git a/sycl/test-e2e/Matrix/SG32/joint_matrix_annotated_ptr.cpp b/sycl/test-e2e/Matrix/SG32/joint_matrix_annotated_ptr.cpp
index 430a5ca2af6b7..7f3a7ce27ee91 100644
--- a/sycl/test-e2e/Matrix/SG32/joint_matrix_annotated_ptr.cpp
+++ b/sycl/test-e2e/Matrix/SG32/joint_matrix_annotated_ptr.cpp
@@ -9,12 +9,13 @@
 // UNSUPPORTED-INTENDED: aspect-ext_intel_matrix isn't currently supported for
 // other triples
 
+// UNSUPPORTED: gpu-intel-dg2
+// UNSUPPORTED-INTENDED: SG size = 32 is not currently supported for SYCL Joint
+// Matrix by IGC on DG2
+
 // REQUIRES: aspect-ext_intel_matrix
 // REQUIRES-INTEL-DRIVER: lin: 27501, win: 101.4943
 
-// XFAIL: run-mode && gpu-intel-dg2
-// XFAIL-TRACKER: GSD-4181
-
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 
diff --git a/sycl/test-e2e/Matrix/SG32/joint_matrix_colA_rowB_colC.cpp b/sycl/test-e2e/Matrix/SG32/joint_matrix_colA_rowB_colC.cpp
index 73c8af15f6487..523ecd910f096 100644
--- a/sycl/test-e2e/Matrix/SG32/joint_matrix_colA_rowB_colC.cpp
+++ b/sycl/test-e2e/Matrix/SG32/joint_matrix_colA_rowB_colC.cpp
@@ -9,12 +9,13 @@
 // UNSUPPORTED-INTENDED: aspect-ext_intel_matrix isn't currently supported for
 // other triples
 
+// UNSUPPORTED: gpu-intel-dg2
+// UNSUPPORTED-INTENDED: SG size = 32 is not currently supported for SYCL Joint
+// Matrix by IGC on DG2
+
 // REQUIRES: aspect-ext_intel_matrix
 // REQUIRES-INTEL-DRIVER: lin: 27501, win: 101.4943
 
-// XFAIL: run-mode && gpu-intel-dg2
-// XFAIL-TRACKER: GSD-5768
-
 // 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 dea638cc07a44..893d7e1ae74ec 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
@@ -16,7 +16,7 @@
 // RUN: %{run} %t.out
 
 // This tests support of col major layout for matrix B which does transpose and
-// then VNNI transform. This is currently only available on AMX
+// then VNNI transform. This is currently only available on AMX and PVC
 
 // XFAIL: arch-intel_gpu_bmg_g21
 // XFAIL-TRACKER: GSD-5768
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 0480469664fef..a29db6dee9fd9 100644
--- a/sycl/test-e2e/Matrix/joint_matrix_int8_colmajorA_colmajorB.cpp
+++ b/sycl/test-e2e/Matrix/joint_matrix_int8_colmajorA_colmajorB.cpp
@@ -15,7 +15,7 @@
 // RUN: %{run} %t.out
 
 // This tests support of col major layout for matrix B which does transpose and
-// then VNNI transform. This is currently only available on AMX
+// then VNNI transform. This is currently only available on AMX and PVC
 
 // XFAIL: gpu-intel-dg2 || arch-intel_gpu_bmg_g21
 // XFAIL-TRACKER: GSD-5768