diff --git a/cpp/cmake_modules/FindArrow.cmake b/cpp/cmake_modules/FindArrow.cmake
index 12f76b6c2b3e8..bce4404a47809 100644
--- a/cpp/cmake_modules/FindArrow.cmake
+++ b/cpp/cmake_modules/FindArrow.cmake
@@ -97,8 +97,8 @@ if (ARROW_INCLUDE_DIR AND ARROW_LIBS)
     set(ARROW_SHARED_IMP_LIB ${ARROW_LIBS}/${ARROW_LIB_NAME}.lib)
     set(ARROW_PYTHON_SHARED_IMP_LIB ${ARROW_PYTHON_LIBS}/${ARROW_PYTHON_LIB_NAME}.lib)
   else()
-    set(ARROW_STATIC_LIB ${ARROW_PYTHON_LIB_PATH}/lib${ARROW_LIB_NAME}.a)
-    set(ARROW_PYTHON_STATIC_LIB ${ARROW_PYTHON_LIB_PATH}/lib${ARROW_PYTHON_LIB_NAME}.a)
+    set(ARROW_STATIC_LIB ${ARROW_LIBS}/lib${ARROW_LIB_NAME}.a)
+    set(ARROW_PYTHON_STATIC_LIB ${ARROW_LIBS}/lib${ARROW_PYTHON_LIB_NAME}.a)
 
     set(ARROW_SHARED_LIB ${ARROW_LIBS}/lib${ARROW_LIB_NAME}${CMAKE_SHARED_LIBRARY_SUFFIX})
     set(ARROW_PYTHON_SHARED_LIB ${ARROW_LIBS}/lib${ARROW_PYTHON_LIB_NAME}${CMAKE_SHARED_LIBRARY_SUFFIX})