diff --git a/libs/core/include_local/include/hpx/compute.hpp.in b/libs/core/include_local/include/hpx/compute.hpp.in
index 96c43f1d4723..5c0e1b4c2434 100644
--- a/libs/core/include_local/include/hpx/compute.hpp.in
+++ b/libs/core/include_local/include/hpx/compute.hpp.in
@@ -1,4 +1,4 @@
-//  Copyright (c) 2016-2022 Hartmut Kaiser
+//  Copyright (c) 2016-2024 Hartmut Kaiser
 //
 //  SPDX-License-Identifier: BSL-1.0
 //  Distributed under the Boost Software License, Version 1.0. (See accompanying
@@ -8,4 +8,12 @@
 
 #pragma once
 
+#include <hpx/config.hpp>
 #include <hpx/modules/compute_local.hpp>
+
+#if defined(HPX_HAVE_CUDA) || defined(HPX_HAVE_HIP)
+#include <hpx/modules/async_cuda.hpp>
+#endif
+#if defined(HPX_WITH_SYCL)
+#include <hpx/modules/async_sycl.hpp>
+#endif
diff --git a/libs/full/include/include/hpx/compute.hpp b/libs/full/include/include/hpx/compute.hpp
index a1bd71e59f84..15c29bdca2fb 100644
--- a/libs/full/include/include/hpx/compute.hpp
+++ b/libs/full/include/include/hpx/compute.hpp
@@ -1,4 +1,4 @@
-//  Copyright (c) 2023 Hartmut Kaiser
+//  Copyright (c) 2023-2024 Hartmut Kaiser
 //
 //  SPDX-License-Identifier: BSL-1.0
 //  Distributed under the Boost Software License, Version 1.0. (See accompanying
@@ -6,5 +6,13 @@
 
 #pragma once
 
+#include <hpx/config.hpp>
 #include <hpx/modules/compute.hpp>
 #include <hpx/modules/compute_local.hpp>
+
+#if defined(HPX_HAVE_CUDA) || defined(HPX_HAVE_HIP)
+#include <hpx/modules/async_cuda.hpp>
+#endif
+#if defined(HPX_WITH_SYCL)
+#include <hpx/modules/async_sycl.hpp>
+#endif
diff --git a/libs/full/include/include/hpx/include/compute.hpp b/libs/full/include/include/hpx/include/compute.hpp
index 994d2c3e4a2d..523cbe987be2 100644
--- a/libs/full/include/include/hpx/include/compute.hpp
+++ b/libs/full/include/include/hpx/include/compute.hpp
@@ -10,3 +10,10 @@
 #include <hpx/compute/host.hpp>
 #include <hpx/compute_local/serialization/vector.hpp>
 #include <hpx/compute_local/vector.hpp>
+
+#if defined(HPX_HAVE_CUDA) || defined(HPX_HAVE_HIP)
+#include <hpx/modules/async_cuda.hpp>
+#endif
+#if defined(HPX_WITH_SYCL)
+#include <hpx/modules/async_sycl.hpp>
+#endif