diff --git a/sycl/test-e2e/Graph/ValidUsage/linear_graph_copy.cpp b/sycl/test-e2e/Graph/ValidUsage/linear_graph_copy.cpp
index 4d34da5bc2ffb..d10fafe54bc4b 100644
--- a/sycl/test-e2e/Graph/ValidUsage/linear_graph_copy.cpp
+++ b/sycl/test-e2e/Graph/ValidUsage/linear_graph_copy.cpp
@@ -50,7 +50,6 @@ int main() {
   Queue.copy(DataA.data(), PtrA, Size);
   Queue.copy(DataB.data(), PtrB, Size);
   Queue.copy(DataC.data(), PtrC, Size);
-  Queue.wait_and_throw();
 
   Graph.begin_recording(Queue);
   Queue.submit([&](handler &CGH) {
@@ -82,15 +81,13 @@ int main() {
 
   auto GraphExec = Graph.finalize();
 
-  event Event;
   for (unsigned n = 0; n < Iterations; n++) {
-    Event =
-        Queue.submit([&](handler &CGH) { CGH.ext_oneapi_graph(GraphExec); });
+    Queue.submit([&](handler &CGH) { CGH.ext_oneapi_graph(GraphExec); });
   }
 
-  Queue.copy(PtrA, DataA.data(), Size, Event);
-  Queue.copy(PtrB, DataB.data(), Size, Event);
-  Queue.copy(PtrC, DataC.data(), Size, Event);
+  Queue.copy(PtrA, DataA.data(), Size);
+  Queue.copy(PtrB, DataB.data(), Size);
+  Queue.copy(PtrC, DataC.data(), Size);
   Queue.wait_and_throw();
 
   free(PtrA, Queue);
diff --git a/sycl/test-e2e/Graph/ValidUsage/linear_graph_copy_D2H.cpp b/sycl/test-e2e/Graph/ValidUsage/linear_graph_copy_D2H.cpp
new file mode 100644
index 0000000000000..d5ad10257d239
--- /dev/null
+++ b/sycl/test-e2e/Graph/ValidUsage/linear_graph_copy_D2H.cpp
@@ -0,0 +1,115 @@
+// RUN: %{build} -o %t.out
+// RUN: %{run} %t.out
+// Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
+// RUN: %if level_zero %{env SYCL_PI_LEVEL_ZERO_USE_IMMEDIATE_COMMANDLISTS=0 %{l0_leak_check} %{run} %t.out 2>&1 | FileCheck %s --implicit-check-not=LEAK %}
+// Extra run to check for immediate-command-list in Level Zero
+// RUN: %if level_zero %{env SYCL_PI_LEVEL_ZERO_USE_IMMEDIATE_COMMANDLISTS=1 %{l0_leak_check} %{run} %t.out 2>&1 | FileCheck %s --implicit-check-not=LEAK %}
+//
+// Extra runs to test in-order command lists path
+// RUN: %if level_zero %{env UR_L0_USE_DRIVER_INORDER_LISTS=1 SYCL_PI_LEVEL_ZERO_USE_IMMEDIATE_COMMANDLISTS=0 %{l0_leak_check} %{run} %t.out 2>&1 | FileCheck %s --implicit-check-not=LEAK %}
+// RUN: %if level_zero %{env UR_L0_USE_DRIVER_INORDER_LISTS=1 SYCL_PI_LEVEL_ZERO_USE_IMMEDIATE_COMMANDLISTS=1 UR_L0_USE_DRIVER_COUNTER_BASED_EVENTS=0 %{l0_leak_check} %{run} %t.out 2>&1 | FileCheck %s --implicit-check-not=LEAK %}
+//
+// Tests that the optimization to use the L0 Copy Engine for memory commands
+// does not interfere with the linear graph optimization
+//
+// REQUIRES: aspect-usm_host_allocations
+
+#include "../graph_common.hpp"
+
+#include <sycl/properties/queue_properties.hpp>
+
+int main() {
+  queue Queue{{sycl::property::queue::in_order{}}};
+
+  using T = int;
+
+  const T ModValue = 7;
+  std::vector<T> DataA(Size), DataB(Size), DataC(Size);
+
+  std::iota(DataA.begin(), DataA.end(), 1);
+  std::iota(DataB.begin(), DataB.end(), 10);
+  std::iota(DataC.begin(), DataC.end(), 1000);
+
+  // Create reference data for output
+  std::vector<T> ReferenceA(DataA), ReferenceB(DataB), ReferenceC(DataC);
+  for (size_t i = 0; i < Iterations; i++) {
+    for (size_t j = 0; j < Size; j++) {
+      ReferenceA[j] += ModValue;
+      ReferenceB[j] = ReferenceA[j];
+      ReferenceB[j] -= ModValue;
+      ReferenceC[j] = ReferenceB[j];
+      ReferenceC[j] += ModValue;
+    }
+  }
+
+  ext::oneapi::experimental::command_graph Graph{Queue.get_context(),
+                                                 Queue.get_device()};
+
+  T *PtrA = malloc_device<T>(Size, Queue);
+  T *PtrB = malloc_device<T>(Size, Queue);
+  T *PtrC = malloc_device<T>(Size, Queue);
+
+  // L0 copy engine is disabled for D2D copies so we need to create additional
+  // D2H copy events in between to invoke it.
+  T *PtrBHost = malloc_host<T>(Size, Queue);
+  T *PtrCHost = malloc_host<T>(Size, Queue);
+
+  Queue.copy(DataA.data(), PtrA, Size);
+  Queue.copy(DataB.data(), PtrB, Size);
+  Queue.copy(DataC.data(), PtrC, Size);
+
+  Graph.begin_recording(Queue);
+  Queue.submit([&](handler &CGH) {
+    CGH.parallel_for(range<1>(Size), [=](item<1> id) {
+      auto LinID = id.get_linear_id();
+      PtrA[LinID] += ModValue;
+    });
+  });
+
+  Queue.submit(
+      [&](handler &CGH) { CGH.memcpy(PtrBHost, PtrA, Size * sizeof(T)); });
+  Queue.submit(
+      [&](handler &CGH) { CGH.memcpy(PtrB, PtrBHost, Size * sizeof(T)); });
+
+  Queue.submit([&](handler &CGH) {
+    CGH.parallel_for(range<1>(Size), [=](item<1> id) {
+      auto LinID = id.get_linear_id();
+      PtrB[LinID] -= ModValue;
+    });
+  });
+
+  Queue.submit(
+      [&](handler &CGH) { CGH.memcpy(PtrCHost, PtrB, Size * sizeof(T)); });
+  Queue.submit(
+      [&](handler &CGH) { CGH.memcpy(PtrC, PtrCHost, Size * sizeof(T)); });
+
+  Queue.submit([&](handler &CGH) {
+    CGH.parallel_for(range<1>(Size), [=](item<1> id) {
+      auto LinID = id.get_linear_id();
+      PtrC[LinID] += ModValue;
+    });
+  });
+
+  Graph.end_recording();
+
+  auto GraphExec = Graph.finalize();
+
+  for (unsigned n = 0; n < Iterations; n++) {
+    Queue.submit([&](handler &CGH) { CGH.ext_oneapi_graph(GraphExec); });
+  }
+
+  Queue.copy(PtrA, DataA.data(), Size);
+  Queue.copy(PtrB, DataB.data(), Size);
+  Queue.copy(PtrC, DataC.data(), Size);
+  Queue.wait_and_throw();
+
+  free(PtrA, Queue);
+  free(PtrB, Queue);
+  free(PtrC, Queue);
+
+  for (size_t i = 0; i < Size; i++) {
+    assert(check_value(i, ReferenceA[i], DataA[i], "DataA"));
+    assert(check_value(i, ReferenceB[i], DataB[i], "DataB"));
+    assert(check_value(i, ReferenceC[i], DataC[i], "DataC"));
+  }
+}