diff --git a/cmake/SUNDIALSConfig.cmake.in b/cmake/SUNDIALSConfig.cmake.in
index 58bbe448e5..9cbe9e6c23 100644
--- a/cmake/SUNDIALSConfig.cmake.in
+++ b/cmake/SUNDIALSConfig.cmake.in
@@ -91,9 +91,13 @@ if("@ENABLE_HYPRE@" AND NOT TARGET SUNDIALS::HYPRE)
 endif()
 
 if("@ENABLE_KLU@" AND NOT TARGET SUNDIALS::KLU)
-  add_library(SUNDIALS::KLU INTERFACE IMPORTED)
-  target_link_libraries(SUNDIALS::KLU INTERFACE "@KLU_LIBRARIES@")
-  set_target_properties(SUNDIALS::KLU PROPERTIES INTERFACE_INCLUDE_DIRECTORIES "@KLU_INCLUDE_DIR@")
+  if("@KLU_SUITESPARSE_TARGET@")
+    find_dependency(KLU)
+  else()
+    add_library(SUNDIALS::KLU INTERFACE IMPORTED)
+    target_link_libraries(SUNDIALS::KLU INTERFACE "@KLU_LIBRARIES@")
+    set_target_properties(SUNDIALS::KLU PROPERTIES INTERFACE_INCLUDE_DIRECTORIES "@KLU_INCLUDE_DIR@")
+  endif()
 endif()
 
 if("@ENABLE_KOKKOS@" AND NOT TARGET Kokkos::kokkos)
diff --git a/cmake/tpl/FindKLU.cmake b/cmake/tpl/FindKLU.cmake
index cad926d4b8..96b9d7343b 100644
--- a/cmake/tpl/FindKLU.cmake
+++ b/cmake/tpl/FindKLU.cmake
@@ -30,6 +30,21 @@
 #   KLU_LIBRARIES   - all of the libraries needed for KLU
 # ---------------------------------------------------------------
 
+if (NOT (KLU_INCLUDE_DIR OR KLU_LIBRARY_DIR OR KLU_LIBRARY))
+  # Prefer the import target from upstream SuiteSparse if it is available
+  # and the user didn't point to a specific (different) version.
+  find_package(KLU CONFIG)
+
+  if(TARGET SuiteSparse::KLU)
+    if(NOT TARGET SUNDIALS::KLU)
+      add_library(SUNDIALS::KLU ALIAS SuiteSparse::KLU)
+      set(KLU_SUITESPARSE_TARGET ON)
+      mark_as_advanced(KLU_SUITESPARSE_TARGET)
+    endif()
+    return()
+  endif()
+endif()
+
 # Set library prefixes for Windows
 if(WIN32)
   set(CMAKE_FIND_LIBRARY_PREFIXES lib ${CMAKE_FIND_LIBRARY_PREFIXES})
diff --git a/doc/shared/sundials/Install.rst b/doc/shared/sundials/Install.rst
index 6843e2c376..aad89e575d 100644
--- a/doc/shared/sundials/Install.rst
+++ b/doc/shared/sundials/Install.rst
@@ -1336,11 +1336,22 @@ Texas A&M University and is available from the `SuiteSparse GitHub repository
 
 To enable KLU, set ``ENABLE_KLU`` to ``ON``, set ``KLU_INCLUDE_DIR`` to the
 ``include`` path of the KLU installation and set ``KLU_LIBRARY_DIR``
-to the ``lib`` path of the KLU installation.  The CMake configure will
-result in populating the following variables: ``AMD_LIBRARY``,
+to the ``lib`` path of the KLU installation.  In that case, the CMake configure
+will result in populating the following variables: ``AMD_LIBRARY``,
 ``AMD_LIBRARY_DIR``,  ``BTF_LIBRARY``, ``BTF_LIBRARY_DIR``,
 ``COLAMD_LIBRARY``, ``COLAMD_LIBRARY_DIR``, and ``KLU_LIBRARY``.
 
+For SuiteSparse 7.4.0 and newer, the necessary information can also be gathered
+from a CMake import target.  If SuiteSparse is installed in a non-default
+prefix, the path to the CMake Config file can be set using
+``CMAKE_PREFIX_PATH``.  In that case, the CMake configure step won't populate
+the previously mentioned variables.  It is still possible to set
+``KLU_INCLUDE_DIR`` and ``KLU_LIBRARY_DIR`` which take precedence over a
+potentially installed CMake import target file.
+
+In either case, a CMake target ``SUNDIALS::KLU`` will be created if the KLU
+library could be found.  Dependent targets should link to that target.
+
 SUNDIALS has been tested with SuiteSparse version 5.10.1.