diff --git a/clang/runtime/dpct-rt/include/dpct/rng_utils.hpp b/clang/runtime/dpct-rt/include/dpct/rng_utils.hpp
index d741739cfdaf..ce6909899a2f 100644
--- a/clang/runtime/dpct-rt/include/dpct/rng_utils.hpp
+++ b/clang/runtime/dpct-rt/include/dpct/rng_utils.hpp
@@ -338,9 +338,8 @@ class rng_generator : public rng_generator_base {
   /// Set the seed of host rng_generator.
   /// \param seed The engine seed.
   void set_seed(const std::uint64_t seed) {
-    if (seed == _seed) {
+    if (seed == _seed)
       return;
-    }
     _seed = seed;
     _engine = create_engine(_queue, _seed, _dimensions, _mode);
   }
@@ -348,9 +347,8 @@ class rng_generator : public rng_generator_base {
   /// Set the dimensions of host rng_generator.
   /// \param dimensions The engine dimensions.
   void set_dimensions(const std::uint32_t dimensions) {
-    if (dimensions == _dimensions) {
+    if (dimensions == _dimensions)
       return;
-    }
     _dimensions = dimensions;
     _engine = create_engine(_queue, _seed, _dimensions, _mode);
   }
@@ -358,9 +356,8 @@ class rng_generator : public rng_generator_base {
   /// Set the queue of host rng_generator.
   /// \param queue The engine queue.
   void set_queue(sycl::queue *queue) {
-    if (queue == _queue) {
+    if (queue == _queue)
       return;
-    }
     _queue = queue;
     _engine = create_engine(_queue, _seed, _dimensions, _mode);
   }
@@ -374,9 +371,8 @@ class rng_generator : public rng_generator_base {
     if constexpr (!std::is_same_v<engine_t, oneapi::mkl::rng::mrg32k3a>) {
       throw std::runtime_error("Only mrg32k3a engine support this method.");
     }
-    if (mode == _mode) {
+    if (mode == _mode)
       return;
-    }
     _mode = mode;
     _engine = create_engine(_queue, _seed, _dimensions, _mode);
 #endif
@@ -390,11 +386,11 @@ class rng_generator : public rng_generator_base {
     throw std::runtime_error(OneMKLNotSupport);
 #else
     if constexpr (std::is_same_v<engine_t, oneapi::mkl::rng::sobol>) {
-      if (direction_numbers == _direction_numbers) {
+      if (direction_numbers == _direction_numbers)
         return;
-      }
       _direction_numbers = direction_numbers;
-      _engine = oneapi::mkl::rng::sobol(*_queue, _direction_numbers);
+      _engine =
+          create_engine(_queue, _seed, _dimensions, _mode, _direction_numbers);
     } else {
       throw std::runtime_error("Only Sobol engine supports this method.");
     }
@@ -409,11 +405,11 @@ class rng_generator : public rng_generator_base {
                              "Interfaces Project does not support this API.");
 #else
     if constexpr (std::is_same_v<engine_t, oneapi::mkl::rng::mt2203>) {
-      if (engine_idx == _engine_idx) {
+      if (engine_idx == _engine_idx)
         return;
-      }
       _engine_idx = engine_idx;
-      _engine = oneapi::mkl::rng::mt2203(*_queue, _seed, _engine_idx);
+      _engine = create_engine(_queue, _seed, _dimensions, _mode, std::nullopt,
+                              _engine_idx);
     } else {
       throw std::runtime_error("Only MT2203 engine supports this method.");
     }
@@ -525,10 +521,12 @@ class rng_generator : public rng_generator_base {
   }
 
 private:
-  static inline engine_t create_engine(sycl::queue *queue,
-                                       const std::uint64_t seed,
-                                       const std::uint32_t dimensions,
-                                       const random_mode mode) {
+  static inline engine_t
+  create_engine(sycl::queue *queue, const std::uint64_t seed,
+                const std::uint32_t dimensions, const random_mode mode,
+                std::optional<std::vector<std::uint32_t>> direction_numbers =
+                    std::nullopt,
+                std::optional<std::uint32_t> engine_idx = std::nullopt) {
 #ifdef __INTEL_MKL__
     if constexpr (std::is_same_v<engine_t, oneapi::mkl::rng::mrg32k3a>) {
       // oneapi::mkl::rng::mrg32k3a_mode is only supported for GPU device. For
@@ -546,13 +544,18 @@ class rng_generator : public rng_generator_base {
                           oneapi::mkl::rng::mrg32k3a_mode::optimal_v);
         }
       }
+    } else if constexpr (std::is_same_v<engine_t, oneapi::mkl::rng::mt2203>) {
+      if (engine_idx.has_value()) {
+        return engine_t(*queue, seed, engine_idx.value());
+      }
+    } else if constexpr (std::is_same_v<engine_t, oneapi::mkl::rng::sobol>) {
+      if (direction_numbers.has_value()) {
+        return engine_t(*queue, direction_numbers.value());
+      }
+      return engine_t(*queue, dimensions);
     }
-    return std::is_same_v<engine_t, oneapi::mkl::rng::sobol>
-               ? engine_t(*queue, dimensions)
-               : engine_t(*queue, seed);
-#else
-    return engine_t(*queue, seed);
 #endif
+    return engine_t(*queue, seed);
   }
 
   template <typename distr_t, typename buffer_t, class... distr_params_t>