diff --git a/CMakeLists.txt b/CMakeLists.txt
index 0435c46a3fe..f341af91ee7 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -66,7 +66,6 @@ option(GINKGO_FORCE_GPU_AWARE_MPI "Assert that the MPI library is GPU aware. Thi
      catastrophically in case the MPI implementation is not GPU Aware, and GPU aware functionality has been forced" OFF)
 set(GINKGO_CI_TEST_OMP_PARALLELISM "4" CACHE STRING
     "The number of OpenMP threads to use for a test binary during CTest resource file-constrained test.")
-option(GINKGO_EXTENSION_KOKKOS "Enables the Kokkos extension in Ginkgo. A Kokkos installation is required in the ON case." OFF)
 option(GINKGO_EXTENSION_KOKKOS_CHECK_TYPE_ALIGNMENT "Enables mapping to Kokkos types to check the alignment of the source and target type." ON)
 gko_rename_cache(GINKGO_COMPILER_FLAGS CMAKE_CXX_FLAGS BOOL "Flags used by the CXX compiler during all build types.")
 gko_rename_cache(GINKGO_CUDA_COMPILER_FLAGS CMAKE_CUDA_FLAGS BOOL "Flags used by the CUDA compiler during all build types.")
@@ -282,6 +281,10 @@ else()
 endif()
 configure_file(${Ginkgo_SOURCE_DIR}/include/ginkgo/config.hpp.in
     ${Ginkgo_BINARY_DIR}/include/ginkgo/config.hpp @ONLY)
+configure_file(${Ginkgo_SOURCE_DIR}/include/ginkgo/extensions/kokkos/config.hpp.in
+        ${Ginkgo_BINARY_DIR}/include/ginkgo/extensions/kokkos/config.hpp
+        @ONLY
+)
 
 # Ginkgo core libraries
 # Needs to be first in order for `CMAKE_CUDA_DEVICE_LINK_EXECUTABLE` to be
diff --git a/INSTALL.md b/INSTALL.md
index db846f66c82..9719bdfb920 100644
--- a/INSTALL.md
+++ b/INSTALL.md
@@ -118,11 +118,6 @@ Ginkgo adds the following additional switches to control what is being built:
     this option see the
     [`ARCHITECTURES` specification list](https://github.com/ginkgo-project/CudaArchitectureSelector/blob/master/CudaArchitectureSelector.cmake#L58)
     section in the documentation of the CudaArchitectureSelector CMake module.
-* `-DGINKGO_EXTENSION_KOKKOS={ON, OFF}` enables an extension that can map simple Ginkgo
-  types (`gko::array`, `gko::matrix::Dense`) to equivalent native Kokkos types. `OFF` by
-  default. Requires Kokkos to be installed if set to `ON`. To use the mapping it is
-  required to additionally link against `Ginkgo::ext::kokkos` (or `Ginkgo::ext` for short).
-  More details on the usage of this extension can be found in the example `kokkos-assembly`.
 
 Additionally, the following CMake options have effect on the build process:
 
diff --git a/cmake/GinkgoConfig.cmake.in b/cmake/GinkgoConfig.cmake.in
index 4d7ad9fca7f..23b1d25adc1 100644
--- a/cmake/GinkgoConfig.cmake.in
+++ b/cmake/GinkgoConfig.cmake.in
@@ -82,9 +82,6 @@ set(GINKGO_HAVE_HWLOC @GINKGO_HAVE_HWLOC@)
 
 set(GINKGO_HAVE_ROCTX @GINKGO_HAVE_ROCTX@)
 
-# Ginkgo extensions
-set(GINKGO_EXTENSION_KOKKOS @GINKGO_EXTENSION_KOKKOS@)
-
 # Ginkgo compiler information
 set(GINKGO_CXX_COMPILER "@CMAKE_CXX_COMPILER@")
 set(GINKGO_CXX_COMPILER_SHORT "@CMAKE_CXX_COMPILER_ID@:@CMAKE_CXX_COMPILER_VERSION@")
@@ -199,10 +196,6 @@ if((NOT GINKGO_BUILD_SHARED_LIBS) AND GINKGO_HAVE_TAU)
     find_dependency(PerfStubs)
 endif()
 
-if(GINKGO_EXTENSION_KOKKOS)
-    find_dependency(Kokkos 4.1)
-endif()
-
 # Check that the same compilers as for Ginkgo are used
 function(_ginkgo_check_compiler lang)
     if(DEFINED CMAKE_${lang}_COMPILER AND (NOT "${CMAKE_${lang}_COMPILER}" STREQUAL "${GINKGO_${lang}_COMPILER}"))
diff --git a/cmake/get_info.cmake b/cmake/get_info.cmake
index f524763db05..63f43c645f0 100644
--- a/cmake/get_info.cmake
+++ b/cmake/get_info.cmake
@@ -206,15 +206,8 @@ if(TARGET hwloc)
 endif()
 ginkgo_print_module_footer(${detailed_log} "")
 
-set(Kokkos_VERSION ${GINKGO_Kokkos_VERSION})
-set(Kokkos_DEVICES ${GINKGO_Kokkos_DEVICES})
-ginkgo_print_generic_header(${minimal_log} "  Extensions:")
 ginkgo_print_generic_header(${detailed_log} "  Extensions:")
-ginkgo_print_variable(${minimal_log} "GINKGO_EXTENSION_KOKKOS")
-ginkgo_print_variable(${detailed_log} "GINKGO_EXTENSION_KOKKOS")
 ginkgo_print_variable(${detailed_log} "GINKGO_EXTENSION_KOKKOS_CHECK_TYPE_ALIGNMENT")
-ginkgo_print_variable(${detailed_log} "Kokkos_VERSION")
-ginkgo_print_variable(${detailed_log} "Kokkos_DEVICES")
 
 _minimal(
     "
diff --git a/cmake/install_helpers.cmake b/cmake/install_helpers.cmake
index ef64f80cb19..7165cad0c2b 100644
--- a/cmake/install_helpers.cmake
+++ b/cmake/install_helpers.cmake
@@ -82,12 +82,12 @@ function(ginkgo_install)
             DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}"
             COMPONENT Ginkgo_Development
             FILES_MATCHING PATTERN "*.hpp"
-            PATTERN "extensions" EXCLUDE
     )
-    install(FILES "${Ginkgo_BINARY_DIR}/include/ginkgo/config.hpp"
-        DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}/ginkgo"
-        COMPONENT Ginkgo_Development
-        )
+    install(DIRECTORY "${Ginkgo_BINARY_DIR}/include/"
+            DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}"
+            COMPONENT Ginkgo_Development
+            FILES_MATCHING PATTERN "*.hpp"
+    )
 
     if  (GINKGO_HAVE_HWLOC AND NOT HWLOC_FOUND)
         get_filename_component(HWLOC_LIB_PATH ${HWLOC_LIBRARIES} DIRECTORY)
diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt
index 5ac3d71f436..653d52a1e88 100644
--- a/examples/CMakeLists.txt
+++ b/examples/CMakeLists.txt
@@ -56,7 +56,8 @@ if(GINKGO_BUILD_MPI)
     list(APPEND EXAMPLES_LIST distributed-solver)
 endif()
 
-if(GINKGO_EXTENSION_KOKKOS)
+find_package(Kokkos 4.1.00 QUIET)
+if(Kokkos_FOUND)
     list(APPEND EXAMPLES_LIST kokkos-assembly)
 else()
     message(STATUS "No Kokkos found, disabling examples with Kokkos assembly.")
diff --git a/examples/kokkos-assembly/CMakeLists.txt b/examples/kokkos-assembly/CMakeLists.txt
index 53fa4546e8c..39c4cabd57b 100644
--- a/examples/kokkos-assembly/CMakeLists.txt
+++ b/examples/kokkos-assembly/CMakeLists.txt
@@ -5,12 +5,10 @@ project(kokkos-assembly CXX)
 if(NOT GINKGO_BUILD_EXAMPLES)
     find_package(Ginkgo 1.8.0 REQUIRED)
 endif()
-if(NOT GINKGO_EXTENSION_KOKKOS)
-    message(FATAL_ERROR "The Kokkos examples requires that GINKGO_EXTENSION_KOKKOS=ON is set.")
-endif()
+find_package(Kokkos 4.1.00 REQUIRED)
 
 # Kokkos doesn't handle any compiler launcher well, so it's disable it
 unset(CMAKE_CXX_COMPILER_LAUNCHER)
 
 add_executable(kokkos-assembly kokkos-assembly.cpp)
-target_link_libraries(kokkos-assembly Ginkgo::ginkgo Ginkgo::ext::kokkos)
+target_link_libraries(kokkos-assembly Ginkgo::ginkgo Kokkos::kokkos)
diff --git a/extensions/CMakeLists.txt b/extensions/CMakeLists.txt
index 986b9216f6f..9c935a74270 100644
--- a/extensions/CMakeLists.txt
+++ b/extensions/CMakeLists.txt
@@ -1,34 +1,3 @@
-if (GINKGO_EXTENSION_KOKKOS)
-    find_package(Kokkos 4.1 REQUIRED)
-
-    set(GINKGO_Kokkos_VERSION ${Kokkos_VERSION} PARENT_SCOPE)
-    set(GINKGO_Kokkos_DEVICES ${Kokkos_DEVICES} PARENT_SCOPE)
-
-    add_library(ginkgo_ext_kokkos INTERFACE)
-    add_library(Ginkgo::ext::kokkos ALIAS ginkgo_ext_kokkos)
-    set_property(TARGET ginkgo_ext_kokkos PROPERTY EXPORT_NAME ext::kokkos)
-
-    target_link_libraries(ginkgo_ext_kokkos INTERFACE Kokkos::kokkos)
-    target_compile_features(ginkgo_ext_kokkos INTERFACE cxx_std_17)
-
-    configure_file("${Ginkgo_SOURCE_DIR}/include/ginkgo/extensions/kokkos/config.hpp.in"
-            "${Ginkgo_BINARY_DIR}/include/ginkgo/extensions/kokkos/config.hpp"
-            @ONLY
-    )
-
-    ginkgo_install_library(ginkgo_ext_kokkos)
-    install(FILES "${Ginkgo_BINARY_DIR}/include/ginkgo/extensions/kokkos/config.hpp"
-            DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}/ginkgo/extensions/kokkos"
-    )
-    install(DIRECTORY "${Ginkgo_SOURCE_DIR}/include/ginkgo/extensions/kokkos"
-            DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}/ginkgo/extensions"
-            FILES_MATCHING PATTERN "*.hpp"
-    )
-    install(FILES "${Ginkgo_SOURCE_DIR}/include/ginkgo/extensions/kokkos.hpp"
-            DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}/ginkgo/extensions"
-    )
-endif ()
-
 if (GINKGO_BUILD_TESTS)
     add_subdirectory(test)
 endif ()
diff --git a/extensions/test/CMakeLists.txt b/extensions/test/CMakeLists.txt
index 382af2ff030..a729661d909 100644
--- a/extensions/test/CMakeLists.txt
+++ b/extensions/test/CMakeLists.txt
@@ -1,5 +1,6 @@
 include(${PROJECT_SOURCE_DIR}/cmake/create_test.cmake)
 
-if (GINKGO_EXTENSION_KOKKOS)
+find_package(Kokkos 4.1.00 QUIET)
+if (Kokkos_FOUND)
     add_subdirectory(kokkos)
 endif ()
diff --git a/extensions/test/kokkos/CMakeLists.txt b/extensions/test/kokkos/CMakeLists.txt
index 9f40b991c3e..47b5e24ca0c 100644
--- a/extensions/test/kokkos/CMakeLists.txt
+++ b/extensions/test/kokkos/CMakeLists.txt
@@ -32,14 +32,14 @@ endif()
 
 function(create_gtest_main_kokkos)
     add_library(ginkgo_gtest_main_kokkos STATIC kokkos_main.cpp ${PROJECT_SOURCE_DIR}/core/test/gtest/resources.cpp)
-    target_link_libraries(ginkgo_gtest_main_kokkos PUBLIC Ginkgo::ginkgo GTest::GTest Ginkgo::ext::kokkos)
+    target_link_libraries(ginkgo_gtest_main_kokkos PUBLIC Ginkgo::ginkgo GTest::GTest Kokkos::kokkos)
     target_compile_definitions(ginkgo_gtest_main_kokkos PRIVATE ${definitions})
     ginkgo_compile_features(ginkgo_gtest_main_kokkos)
 endfunction()
 create_gtest_main_kokkos()
 
 function(ginkgo_create_test_kokkos test_name)
-    ginkgo_create_test(${test_name} NO_GTEST_MAIN RESOURCE_TYPE ${resource_type} ADDITIONAL_LIBRARIES Ginkgo::ext::kokkos ginkgo_gtest_main_kokkos ${ARGN})
+    ginkgo_create_test(${test_name} NO_GTEST_MAIN RESOURCE_TYPE ${resource_type} ADDITIONAL_LIBRARIES Kokkos::kokkos ginkgo_gtest_main_kokkos ${ARGN})
 endfunction()
 
 ginkgo_create_test_kokkos(types)