diff --git a/conan/tools/cmake/cmakedeps/templates/macros.py b/conan/tools/cmake/cmakedeps/templates/macros.py
index d3249bcea11..dbddc69d80a 100644
--- a/conan/tools/cmake/cmakedeps/templates/macros.py
+++ b/conan/tools/cmake/cmakedeps/templates/macros.py
@@ -67,13 +67,13 @@ def template(self):
                        if(NOT TARGET ${_LIB_NAME})
                           add_library(${_LIB_NAME} UNKNOWN IMPORTED)
                        endif()
-                       set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_LOCATION ${CONAN_FOUND_LIBRARY})
+                       set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_LOCATION${config_suffix} ${CONAN_FOUND_LIBRARY})
                      else()
                         if(NOT TARGET ${_LIB_NAME})
                           add_library(${_LIB_NAME} SHARED IMPORTED)
                         endif()
-                        set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_LOCATION ${CONAN_SHARED_FOUND_LIBRARY})
-                        set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_IMPLIB ${CONAN_FOUND_LIBRARY})
+                        set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_LOCATION${config_suffix} ${CONAN_SHARED_FOUND_LIBRARY})
+                        set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_IMPLIB${config_suffix} ${CONAN_FOUND_LIBRARY})
                         message(DEBUG "Found DLL and STATIC at ${CONAN_SHARED_FOUND_LIBRARY}, ${CONAN_FOUND_LIBRARY}")
                      endif()
                      unset(CONAN_SHARED_FOUND_LIBRARY CACHE)
@@ -83,10 +83,8 @@ def template(self):
                          add_library(${_LIB_NAME} ${library_type} IMPORTED)
                      endif()
                      message(DEBUG "Created target ${_LIB_NAME} ${library_type} IMPORTED")
-                     set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_LOCATION ${CONAN_FOUND_LIBRARY} IMPORTED_NO_SONAME ${no_soname_mode})
+                     set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_LOCATION${config_suffix} ${CONAN_FOUND_LIBRARY} IMPORTED_NO_SONAME ${no_soname_mode})
                    endif()
-                   # Link library file
-                   set_target_properties(${_LIB_NAME} PROPERTIES IMPORTED_LOCATION${config_suffix} ${CONAN_FOUND_LIBRARY})
                    list(APPEND _out_libraries_target ${_LIB_NAME})
                    message(VERBOSE "Conan: Found: ${CONAN_FOUND_LIBRARY}")
                else()
diff --git a/conans/test/functional/toolchains/cmake/cmakedeps/test_cmakedeps.py b/conans/test/functional/toolchains/cmake/cmakedeps/test_cmakedeps.py
index d3001e94a3d..792dcfa6124 100644
--- a/conans/test/functional/toolchains/cmake/cmakedeps/test_cmakedeps.py
+++ b/conans/test/functional/toolchains/cmake/cmakedeps/test_cmakedeps.py
@@ -661,6 +661,37 @@ def package_info(self):
     assert "talk: Release!" in client.out
     assert "main: Debug!" in client.out
 
+@pytest.mark.tool("cmake", "3.23")
+@pytest.mark.skipif(platform.system() != "Windows", reason="Windows DLL specific")
+def test_cmake_target_runtime_dlls():
+    # https://github.com/conan-io/conan/issues/13504
+
+    client = TestClient()
+    client.run("new cmake_lib -d name=hello -d version=1.0")
+    client.run('create . -tf="" -s build_type=Release -o "hello/*":shared=True')
+
+    client.run("new cmake_exe -d name=foo -d version=1.0 -d requires=hello/1.0 -f")
+    cmakelists = textwrap.dedent("""
+    cmake_minimum_required(VERSION 3.15)
+    project(foo CXX)
+    find_package(hello CONFIG REQUIRED)
+    add_executable(foo src/foo.cpp src/main.cpp)
+    target_link_libraries(foo PRIVATE hello::hello)
+    # Make sure CMake copies DLLs from dependencies, next to the executable
+    # in this case it should copy hello.dll
+    add_custom_command(TARGET foo POST_BUILD
+        COMMAND ${CMAKE_COMMAND} -E copy $<TARGET_RUNTIME_DLLS:foo> $<TARGET_FILE_DIR:foo>
+        COMMAND_EXPAND_LISTS)
+    """)
+    client.save({"CMakeLists.txt": cmakelists})
+    client.run('install . -s build_type=Release -o "hello/*":shared=True')
+    client.run_command("cmake -S . -B build/ -DCMAKE_TOOLCHAIN_FILE=build/generators/conan_toolchain.cmake")
+    client.run_command("cmake --build build --config Release")
+    client.run_command("build\\Release\\foo.exe")
+    
+    assert os.path.exists(os.path.join(client.current_folder, "build", "Release", "hello.dll"))
+    assert "hello/1.0: Hello World Release!" in client.out # if the DLL wasn't copied, the application would not run and show output
+
 
 @pytest.mark.tool("cmake")
 def test_quiet():