diff --git a/sycl/test-e2e/Graph/Explicit/basic_buffer.cpp b/sycl/test-e2e/Graph/Explicit/basic_buffer.cpp
index 32735e2bcf6ef..54486d9d21c94 100644
--- a/sycl/test-e2e/Graph/Explicit/basic_buffer.cpp
+++ b/sycl/test-e2e/Graph/Explicit/basic_buffer.cpp
@@ -1,6 +1,3 @@
-// UNSUPPORTED: linux && run-mode && gpu-intel-dg2 && !igc-dev
-// UNSUPPORTED-TRACKER: https://github.com/intel/llvm/issues/18668
-
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 // Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
diff --git a/sycl/test-e2e/Graph/Explicit/buffer_copy.cpp b/sycl/test-e2e/Graph/Explicit/buffer_copy.cpp
index 8b03248f03e05..7789845044c1b 100644
--- a/sycl/test-e2e/Graph/Explicit/buffer_copy.cpp
+++ b/sycl/test-e2e/Graph/Explicit/buffer_copy.cpp
@@ -1,6 +1,3 @@
-// UNSUPPORTED: linux && run-mode && gpu-intel-dg2 && !igc-dev
-// UNSUPPORTED-TRACKER: https://github.com/intel/llvm/issues/18668
-
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 // Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
diff --git a/sycl/test-e2e/Graph/Explicit/buffer_copy_2d.cpp b/sycl/test-e2e/Graph/Explicit/buffer_copy_2d.cpp
index cc38dd86a3343..f3f7b009f9377 100644
--- a/sycl/test-e2e/Graph/Explicit/buffer_copy_2d.cpp
+++ b/sycl/test-e2e/Graph/Explicit/buffer_copy_2d.cpp
@@ -1,6 +1,3 @@
-// UNSUPPORTED: linux && run-mode && gpu-intel-dg2 && !igc-dev
-// UNSUPPORTED-TRACKER: https://github.com/intel/llvm/issues/18668
-
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 // Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
diff --git a/sycl/test-e2e/Graph/Explicit/buffer_interleave_eager.cpp b/sycl/test-e2e/Graph/Explicit/buffer_interleave_eager.cpp
new file mode 100644
index 0000000000000..c3fa050aa2d22
--- /dev/null
+++ b/sycl/test-e2e/Graph/Explicit/buffer_interleave_eager.cpp
@@ -0,0 +1,11 @@
+// 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 %}
+//
+
+#define GRAPH_E2E_EXPLICIT
+
+#include "../Inputs/buffer_interleave_eager.cpp"
diff --git a/sycl/test-e2e/Graph/Explicit/buffer_ordering.cpp b/sycl/test-e2e/Graph/Explicit/buffer_ordering.cpp
index 6958ba2ab391f..f0775c7d698f0 100644
--- a/sycl/test-e2e/Graph/Explicit/buffer_ordering.cpp
+++ b/sycl/test-e2e/Graph/Explicit/buffer_ordering.cpp
@@ -1,5 +1,3 @@
-// UNSUPPORTED: run-mode && gpu-intel-dg2 && !igc-dev
-// UNSUPPORTED-TRACKER: https://github.com/intel/llvm/issues/18579
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 // Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
diff --git a/sycl/test-e2e/Graph/Inputs/buffer_interleave_eager.cpp b/sycl/test-e2e/Graph/Inputs/buffer_interleave_eager.cpp
new file mode 100644
index 0000000000000..7b098089b0188
--- /dev/null
+++ b/sycl/test-e2e/Graph/Inputs/buffer_interleave_eager.cpp
@@ -0,0 +1,61 @@
+// Tests enqueueing an eager buffer submission followed by two executions
+// of the same graph which also use the buffer.
+
+#include "../graph_common.hpp"
+
+int main() {
+  queue Queue{};
+
+  const size_t N = 10;
+  std::vector<int> Arr(N, 0);
+
+  buffer<int> Buf{N};
+  Buf.set_write_back(false);
+
+  {
+    // Buffer elements set to 8
+    Queue.submit([&](handler &CGH) {
+      auto Acc = Buf.get_access(CGH);
+      CGH.parallel_for(range<1>{N}, [=](id<1> idx) {
+        size_t i = idx;
+        Acc[i] = 8;
+      });
+    });
+
+    // Create graph than adds 2 to buffer elements
+    exp_ext::command_graph Graph{
+        Queue.get_context(),
+        Queue.get_device(),
+        {exp_ext::property::graph::assume_buffer_outlives_graph{}}};
+
+    add_node(Graph, Queue, [&](handler &CGH) {
+      auto Acc = Buf.get_access(CGH);
+      CGH.parallel_for(range<1>{N}, [=](id<1> idx) {
+        size_t i = idx;
+        Acc[i] += 2;
+      });
+    });
+
+    auto ExecGraph = Graph.finalize();
+
+    // Buffer elements set to 10
+    Queue.ext_oneapi_graph(ExecGraph);
+
+    // Buffer elements set to 12
+    Queue.ext_oneapi_graph(ExecGraph);
+
+    // Copy results back
+    Queue.submit([&](handler &CGH) {
+      auto Acc = Buf.get_access(CGH);
+      CGH.copy(Acc, Arr.data());
+    });
+    Queue.wait();
+  }
+
+  const int Expected = 12;
+  for (size_t i = 0; i < N; i++) {
+    assert(check_value(i, Expected, Arr[i], "Arr"));
+  }
+
+  return 0;
+}
diff --git a/sycl/test-e2e/Graph/Inputs/buffer_ordering.cpp b/sycl/test-e2e/Graph/Inputs/buffer_ordering.cpp
index 8039e5eb87106..9a0c4b0ff63ab 100644
--- a/sycl/test-e2e/Graph/Inputs/buffer_ordering.cpp
+++ b/sycl/test-e2e/Graph/Inputs/buffer_ordering.cpp
@@ -73,8 +73,7 @@ int main() {
     });
 
     // Buffer elements set to 10
-    auto Event =
-        Queue.submit([&](handler &CGH) { CGH.ext_oneapi_graph(ExecGraph); });
+    Queue.submit([&](handler &CGH) { CGH.ext_oneapi_graph(ExecGraph); });
 
     // Buffer elements set to 20
     Queue.submit([&](handler &CGH) {
diff --git a/sycl/test-e2e/Graph/RecordReplay/basic_buffer.cpp b/sycl/test-e2e/Graph/RecordReplay/basic_buffer.cpp
index da6b98863c317..4c7f5d149e731 100644
--- a/sycl/test-e2e/Graph/RecordReplay/basic_buffer.cpp
+++ b/sycl/test-e2e/Graph/RecordReplay/basic_buffer.cpp
@@ -1,6 +1,3 @@
-// UNSUPPORTED: linux && run-mode && gpu-intel-dg2 && !igc-dev
-// UNSUPPORTED-TRACKER: https://github.com/intel/llvm/issues/18668
-
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 // Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
diff --git a/sycl/test-e2e/Graph/RecordReplay/buffer_copy.cpp b/sycl/test-e2e/Graph/RecordReplay/buffer_copy.cpp
index 1096243a8d747..24e8926c7cbfd 100644
--- a/sycl/test-e2e/Graph/RecordReplay/buffer_copy.cpp
+++ b/sycl/test-e2e/Graph/RecordReplay/buffer_copy.cpp
@@ -1,6 +1,3 @@
-// UNSUPPORTED: linux && run-mode && gpu-intel-dg2 && !igc-dev
-// UNSUPPORTED-TRACKER: https://github.com/intel/llvm/issues/18668
-
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 // Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
diff --git a/sycl/test-e2e/Graph/RecordReplay/buffer_interleave_eager.cpp b/sycl/test-e2e/Graph/RecordReplay/buffer_interleave_eager.cpp
new file mode 100644
index 0000000000000..9ef2158aa8e96
--- /dev/null
+++ b/sycl/test-e2e/Graph/RecordReplay/buffer_interleave_eager.cpp
@@ -0,0 +1,11 @@
+// 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 %}
+//
+
+#define GRAPH_E2E_RECORD_REPLAY
+
+#include "../Inputs/buffer_interleave_eager.cpp"
diff --git a/sycl/test-e2e/Graph/RecordReplay/buffer_ordering.cpp b/sycl/test-e2e/Graph/RecordReplay/buffer_ordering.cpp
index b5f206dbd72d8..fb6d9ea0e0e78 100644
--- a/sycl/test-e2e/Graph/RecordReplay/buffer_ordering.cpp
+++ b/sycl/test-e2e/Graph/RecordReplay/buffer_ordering.cpp
@@ -1,5 +1,3 @@
-// UNSUPPORTED: run-mode && gpu-intel-dg2 && !igc-dev
-// UNSUPPORTED-TRACKER: https://github.com/intel/llvm/issues/18579
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 // Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
diff --git a/sycl/test-e2e/Graph/RecordReplay/queue_constructor_buffer.cpp b/sycl/test-e2e/Graph/RecordReplay/queue_constructor_buffer.cpp
index 91fe6dc3a3b48..da9a098b1e15f 100644
--- a/sycl/test-e2e/Graph/RecordReplay/queue_constructor_buffer.cpp
+++ b/sycl/test-e2e/Graph/RecordReplay/queue_constructor_buffer.cpp
@@ -1,6 +1,3 @@
-// UNSUPPORTED: linux && run-mode && gpu-intel-dg2 && !igc-dev
-// UNSUPPORTED-TRACKER: https://github.com/intel/llvm/issues/18668
-
 // RUN: %{build} -o %t.out
 // RUN: %{run} %t.out
 // Extra run to check for leaks in Level Zero using UR_L0_LEAKS_DEBUG
diff --git a/sycl/test-e2e/Graph/lit.local.cfg b/sycl/test-e2e/Graph/lit.local.cfg
index d12a1eaabd5d4..ccb372873811c 100644
--- a/sycl/test-e2e/Graph/lit.local.cfg
+++ b/sycl/test-e2e/Graph/lit.local.cfg
@@ -1,7 +1,3 @@
 # https://github.com/intel/llvm/issues/17165
 if 'windows' in config.available_features:
    config.unsupported_features += ['arch-intel_gpu_bmg_g21']
-
-# https://github.com/intel/llvm/issues/18668
-# https://github.com/intel/llvm/issues/18579
-config.unsupported_features += ['gpu-intel-dg2 && level_zero_v2_adapter']