diff --git a/ggml/src/ggml-sycl/ggml-sycl.cpp b/ggml/src/ggml-sycl/ggml-sycl.cpp
index 3992dad01..a0a650e92 100644
--- a/ggml/src/ggml-sycl/ggml-sycl.cpp
+++ b/ggml/src/ggml-sycl/ggml-sycl.cpp
@@ -2705,9 +2705,9 @@ static void ggml_sycl_mul_mat_batched_sycl(ggml_backend_sycl_context & ctx, cons
                                                 " : converting src1 to fp16");
 
         // iterate tensor dims and find the slowest moving dim and stride
-        int64_t last_dim=0;
-        int64_t last_str=0;
-        int64_t largest_str=0;
+        int last_dim=0;
+        int last_str=0;
+        size_t largest_str=0;
         for(int i = 0; i< 4; i++){
             // last stride is always the largest
             if(src1->nb[i] == largest_str){
@@ -2783,7 +2783,7 @@ static void ggml_sycl_mul_mat_batched_sycl(ggml_backend_sycl_context & ctx, cons
             auto launch_gemm_for_batches = [&ctx, queue](const sycl::half *src0,
                                                 const sycl::half *src1, float *dst,
                                                 int64_t a0, int64_t a1, int64_t batcha,
-                                                int64_t b0, int64_t b1, int64_t batchb,
+                                                int64_t /*b0*/, int64_t b1, int64_t batchb,
                                                 int64_t sa0, int64_t sa1, int64_t sa2,
                                                 int64_t sb0, int64_t sb1, int64_t sb2,
                                                 int64_t sd2) {
@@ -2832,14 +2832,26 @@ static void ggml_sycl_mul_mat_batched_sycl(ggml_backend_sycl_context & ctx, cons
                 }
             };
 
-            bool cont_batches_a = nb02 * ne02 == nb03;
-            bool cont_batches_b = nb12 * ne12 == nb13;
-            if (cont_batches_a && cont_batches_b) {
+            const bool cont_batches_dim2_a = nb02 * ne02 == nb03;
+            const bool cont_batches_dim2_b = nb12 * ne12 == nb13;
+            const bool cont_batches_dim3_a = ne02 == 1 && nb02 * ne01 == nb03;
+            const bool cont_batches_dim3_b = ne12 == 1 && nb12 * ne11 == nb13;
+            if (cont_batches_dim2_a && cont_batches_dim2_b) {
+                // A batch is considered contiguous if the dimension 2 is not strided
                 int64_t batches0 = ne02 * ne03;
                 int64_t batches1 = ne12 * ne13;
                 launch_gemm_for_batches(src0_f16, src1_f16, dst_ddf, ne00, ne01, batches0,
                         ne10, ne11, batches1, str_a0, str_a1, str_a2, str_b0, str_b1,
                         str_b2, nb2 / sizeof(float));
+            } else if (cont_batches_dim3_a && cont_batches_dim3_b) {
+                // This case is similar to the one above with the difference that only the batch in dimension 3 is used and the dimension 2 is of size 1.
+                int64_t batches0 = ne02 * ne03;
+                int64_t batches1 = ne12 * ne13;
+                int64_t str_a3 = nb03 / type_size_src0;
+                int64_t str_b3 = nb13 / type_size_src1;
+                launch_gemm_for_batches(src0_f16, src1_f16, dst_ddf, ne00, ne01, batches0,
+                        ne10, ne11, batches1, str_a0, str_a1, str_a3, str_b0, str_b1,
+                        str_b3, nb2 / sizeof(float));
             } else {
                 for (int64_t b_a = 0; b_a < ne03; b_a++) {
                     const sycl::half *src0_f16_shifted
@@ -4215,6 +4227,15 @@ static bool ggml_backend_sycl_device_supports_op(ggml_backend_dev_t dev, const g
                     // FIXME: keep a list of supported types to avoid breaking the backend when a new type is added
                     return false;
                 }
+                // TODO: The configuration below needs more work to be supported with oneDNN
+                if (ggml_is_permuted(a) && !ggml_is_contiguous(a) && a->ne[2] > 1 && a->ne[3] > 1) {
+                    return false;
+                }
+                // TODO: This specific configuration can fail with oneDNN and needs more debugging
+                if (!ggml_is_permuted(a) && ggml_is_permuted(b) && b->ne[2] > 1 && b->ne[3] > 1 &&
+                    a->ne[0] > 128 && a->ne[2] == 1 && src0_type == GGML_TYPE_F16) {
+                    return false;
+                }
                 return true;
             }
         case GGML_OP_OUT_PROD: