diff --git a/dali/pipeline/operator/builtin/copy.cc b/dali/pipeline/operator/builtin/copy.cc
index 30aeb5682b..8588bc92f0 100644
--- a/dali/pipeline/operator/builtin/copy.cc
+++ b/dali/pipeline/operator/builtin/copy.cc
@@ -17,30 +17,47 @@
 namespace dali {
 
 template <>
-void Copy<CPUBackend, CPUBackend>::RunImpl(Workspace &ws) {
-  auto &input = ws.Input<CPUBackend>(0);
-  auto &output = ws.Output<CPUBackend>(0);
-
-  int batch_size = input.num_samples();
-  output.SetLayout(input.GetLayout());
-  auto shapes = input.shape();
-
-  auto &thread_pool = ws.GetThreadPool();
-  for (int sample_id = 0; sample_id < batch_size; ++sample_id) {
-    thread_pool.AddWork(
-        [sample_id, &input, &output](int tid) {
-          output.CopySample(sample_id, input, sample_id, AccessOrder::host());
-        },
-        shapes.tensor_size(sample_id));
+void Copy<CPUBackend>::RunImpl(Workspace &ws) {
+  if (ws.InputIsType<CPUBackend>(0)) {
+    auto &input = ws.Input<CPUBackend>(0);
+    auto &output = ws.Output<CPUBackend>(0);
+
+    int batch_size = input.num_samples();
+    output.SetLayout(input.GetLayout());
+    auto shapes = input.shape();
+
+    auto &thread_pool = ws.GetThreadPool();
+    for (int sample_id = 0; sample_id < batch_size; ++sample_id) {
+      thread_pool.AddWork(
+          [sample_id, &input, &output](int tid) {
+            output.CopySample(sample_id, input, sample_id, AccessOrder::host());
+          },
+          shapes.tensor_size(sample_id));
+    }
+    thread_pool.RunAll();
+  } else {
+    auto &input = ws.Input<GPUBackend>(0);
+    auto &output = ws.Output<CPUBackend>(0);
+    output.Copy(input, ws.output_order());
+  }
+}
+
+template <>
+void Copy<GPUBackend>::RunImpl(Workspace &ws) {
+  if (ws.InputIsType<CPUBackend>(0)) {
+    auto &input = ws.Input<CPUBackend>(0);
+    auto &output = ws.Output<GPUBackend>(0);
+    output.Copy(input, ws.output_order());
+  } else {
+    auto &input = ws.Input<GPUBackend>(0);
+    auto &output = ws.Output<GPUBackend>(0);
+    output.Copy(input, ws.output_order());
   }
-  thread_pool.RunAll();
 }
 
 DALI_REGISTER_OPERATOR(Copy, Copy<CPUBackend>, CPU);
 DALI_REGISTER_OPERATOR(Copy, Copy<GPUBackend>, GPU);
 
-using CopyD2H = Copy<CPUBackend, GPUBackend>;
-DALI_REGISTER_OPERATOR(CopyD2H, CopyD2H, CPU);
 
 DALI_SCHEMA(Copy)
   .DocStr("Creates a copy of the input tensor.")
@@ -49,14 +66,4 @@ DALI_SCHEMA(Copy)
   .AllowSequences()
   .SupportVolumetric();
 
-
-DALI_SCHEMA(CopyD2H)
-  .DocStr("Creates a copy of the input tensor.")
-  .NumInput(1)
-  .InputDevice(0, InputDevice::GPU)
-  .NumOutput(1)
-  .AllowSequences()
-  .SupportVolumetric();
-
-
 }  // namespace dali
diff --git a/dali/pipeline/operator/builtin/copy.h b/dali/pipeline/operator/builtin/copy.h
index 139ca2b288..91c2995ea6 100644
--- a/dali/pipeline/operator/builtin/copy.h
+++ b/dali/pipeline/operator/builtin/copy.h
@@ -25,11 +25,11 @@
 
 namespace dali {
 
-template <typename DstBackend, typename SrcBackend = DstBackend>
-class Copy : public StatelessOperator<DstBackend> {
+template <typename Backend>
+class Copy : public StatelessOperator<Backend> {
  public:
   explicit Copy(const OpSpec &spec) :
-    StatelessOperator<DstBackend>(spec) {}
+    StatelessOperator<Backend>(spec) {}
 
   DISABLE_COPY_MOVE_ASSIGN(Copy);
 
@@ -40,17 +40,12 @@ class Copy : public StatelessOperator<DstBackend> {
 
   bool SetupImpl(std::vector<OutputDesc> &output_desc, const Workspace &ws) override {
     output_desc.resize(1);
-    const auto &input = ws.Input<SrcBackend>(0);
-    output_desc[0].type = input.type();
-    output_desc[0].shape = input.shape();
+    output_desc[0].type = ws.GetInputDataType(0);
+    output_desc[0].shape = ws.GetInputShape(0);
     return true;
   }
 
-  void RunImpl(Workspace &ws) override {
-    auto &input = ws.Input<SrcBackend>(0);
-    auto &output = ws.Output<DstBackend>(0);
-    output.Copy(input, ws.output_order());
-  }
+  void RunImpl(Workspace &ws) override;
 };
 
 
diff --git a/dali/pipeline/pipeline.cc b/dali/pipeline/pipeline.cc
index 0b50d12616..d8f7999077 100644
--- a/dali/pipeline/pipeline.cc
+++ b/dali/pipeline/pipeline.cc
@@ -633,7 +633,7 @@ void Pipeline::ToCPU(std::map<string, EdgeMeta>::iterator it) {
   if (it->second.has_cpu)
     return;
   OpSpec copy_to_host_spec =
-    OpSpec("CopyD2H")
+    OpSpec("Copy")
     .AddArg("device", "cpu")
     .AddInput(it->first, "gpu")
     .AddOutput(it->first, "cpu");