diff --git a/cmake/FindCXSparse.cmake b/cmake/FindCXSparse.cmake
index 94a56b3be..afd1ebf15 100644
--- a/cmake/FindCXSparse.cmake
+++ b/cmake/FindCXSparse.cmake
@@ -228,7 +228,7 @@ find_package_handle_standard_args(CXSparse
   REQUIRED_VARS CXSparse_INCLUDE_DIR CXSparse_LIBRARY
   VERSION_VAR CXSparse_VERSION)
 
-if (CXSparse_FOUND)
+if (CXSparse_INCLUDE_DIR AND CXSparse_LIBRARY)
   if (NOT TARGET CXSparse::CXSparse)
     add_library (CXSparse::CXSparse IMPORTED UNKNOWN)
   endif (NOT TARGET CXSparse::CXSparse)
@@ -237,4 +237,4 @@ if (CXSparse_FOUND)
     IMPORTED_LOCATION ${CXSparse_LIBRARY})
   set_property (TARGET CXSparse::CXSparse PROPERTY
     INTERFACE_INCLUDE_DIRECTORIES ${CXSparse_INCLUDE_DIR})
-endif (CXSparse_FOUND)
+endif (CXSparse_INCLUDE_DIR AND CXSparse_LIBRARY)
diff --git a/cmake/FindSuiteSparse.cmake b/cmake/FindSuiteSparse.cmake
index 452ffa1cf..b54cea4e1 100644
--- a/cmake/FindSuiteSparse.cmake
+++ b/cmake/FindSuiteSparse.cmake
@@ -221,16 +221,6 @@ macro(suitesparse_find_component COMPONENT)
     if (SuiteSparse_${COMPONENT}_LIBRARY)
       message(STATUS "Found ${COMPONENT} library: ${SuiteSparse_${COMPONENT}_LIBRARY}")
       mark_as_advanced(SuiteSparse_${COMPONENT}_LIBRARY)
-
-      if(NOT TARGET SuiteSparse::${COMPONENT})
-        add_library(SuiteSparse::${COMPONENT} IMPORTED UNKNOWN)
-      endif()
-      set_property(TARGET SuiteSparse::${COMPONENT} PROPERTY
-        INTERFACE_INCLUDE_DIRECTORIES ${SuiteSparse_${COMPONENT}_INCLUDE_DIR})
-      set_property(TARGET SuiteSparse::${COMPONENT} PROPERTY
-        IMPORTED_LOCATION_RELEASE ${SuiteSparse_${COMPONENT}_LIBRARY})
-      set_property(TARGET SuiteSparse::${COMPONENT} APPEND PROPERTY
-        IMPORTED_CONFIGURATIONS RELEASE)
     else ()
       # Specified libraries not found.
       set(SuiteSparse_${COMPONENT}_FOUND FALSE)
@@ -245,6 +235,18 @@ macro(suitesparse_find_component COMPONENT)
       endif()
     endif()
   endif()
+
+  # Define the target only if the include directory and the library were found
+  if (SuiteSparse_${COMPONENT}_INCLUDE_DIR AND SuiteSparse_${COMPONENT}_LIBRARY)
+    if (NOT TARGET SuiteSparse::${COMPONENT})
+      add_library(SuiteSparse::${COMPONENT} IMPORTED UNKNOWN)
+    endif (NOT TARGET SuiteSparse::${COMPONENT})
+
+    set_property(TARGET SuiteSparse::${COMPONENT} PROPERTY
+      INTERFACE_INCLUDE_DIRECTORIES ${SuiteSparse_${COMPONENT}_INCLUDE_DIR})
+    set_property(TARGET SuiteSparse::${COMPONENT} PROPERTY
+      IMPORTED_LOCATION ${SuiteSparse_${COMPONENT}_LIBRARY})
+  endif (SuiteSparse_${COMPONENT}_INCLUDE_DIR AND SuiteSparse_${COMPONENT}_LIBRARY)
 endmacro()
 
 # Given the number of components of SuiteSparse, and to ensure that the