diff --git a/modules/dnn/src/layers/randomnormallike_layer.cpp b/modules/dnn/src/layers/randomnormallike_layer.cpp
index ff3b0791e4..28aab3254c 100644
--- a/modules/dnn/src/layers/randomnormallike_layer.cpp
+++ b/modules/dnn/src/layers/randomnormallike_layer.cpp
@@ -63,7 +63,7 @@ public:
 
         mean = params.get<float>("mean", 0.f);
         scale = params.get<float>("scale", 1.f);
-        int dt = params.get<int>("output_dtype", -1);
+        int dt = params.get<int>("dtype", -1);
         outputType = dt >= 0 ? onnxDataTypeToCV(static_cast<OnnxDataType>(dt)) : -1;
         has_seed = params.has("seed");
         seed = has_seed ? params.get<float>("seed") : 0.f;
@@ -87,7 +87,8 @@ public:
                          std::vector<MatShape>& internals) const CV_OVERRIDE
     {
         CV_Assert(inputs.size() == (size_t)1);
-        CV_Assert(requiredOutputs == 1);
+        CV_Check(requiredOutputs, requiredOutputs == 0 || requiredOutputs == 1,
+                 "RandomNormalLike layer expects one output");
         outputs.assign(1, inputs[0]);
         internals.clear();
         return true;
diff --git a/modules/dnn/src/onnx/onnx_importer2.cpp b/modules/dnn/src/onnx/onnx_importer2.cpp
index 10c9472f98..5115219848 100644
--- a/modules/dnn/src/onnx/onnx_importer2.cpp
+++ b/modules/dnn/src/onnx/onnx_importer2.cpp
@@ -2045,16 +2045,6 @@ void ONNXImporter2::parseRMSNormalization(LayerParams& layerParams, const opencv
 
 void ONNXImporter2::parseRandomNormalLike(LayerParams& layerParams, const opencv_onnx::NodeProto& node_proto)
 {
-    if (layerParams.has("dtype"))
-    {
-        int dt = layerParams.get<int>("dtype", -1);
-        if (dt >= 0)
-        {
-            layerParams.set<int>("output_dtype", dataType2cv((opencv_onnx::TensorProto_DataType)dt));
-        }
-        layerParams.erase("dtype");
-    }
-
     layerParams.type = "RandomNormalLike";
     addLayer(layerParams, node_proto);
 }
diff --git a/modules/dnn/test/test_onnx_importer.cpp b/modules/dnn/test/test_onnx_importer.cpp
index eeb0416cc7..26ec4fa532 100644
--- a/modules/dnn/test/test_onnx_importer.cpp
+++ b/modules/dnn/test/test_onnx_importer.cpp
@@ -3465,8 +3465,7 @@ TEST_P(Test_ONNX_layers, TopK) {
     test("top_k_smallest");
 }
 
-// BUG: https://github.com/opencv/opencv/issues/28532
-TEST_P(Test_ONNX_layers, DISABLED_RandomNormalLike_basic)
+TEST_P(Test_ONNX_layers, RandomNormalLike_basic)
 {
     Net net = readNetFromONNX(findDataFile("dnn/onnx/models/random_normal_like.onnx", true));
 
@@ -3488,8 +3487,7 @@ TEST_P(Test_ONNX_layers, DISABLED_RandomNormalLike_basic)
     EXPECT_EQ(countNonZero(out != out2), 0);
 }
 
-// BUG: https://github.com/opencv/opencv/issues/28532
-TEST_P(Test_ONNX_layers, DISABLED_RandomNormalLike_complex)
+TEST_P(Test_ONNX_layers, RandomNormalLike_complex)
 {
     Net net = readNetFromONNX(findDataFile("dnn/onnx/models/random_normal_like_complex.onnx", true));