diff --git a/CMakeLists.txt b/CMakeLists.txt
index 3401739b..d67c050d 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -8,17 +8,27 @@ project(luzer
 set(CMAKE_MODULE_PATH "${CMAKE_CURRENT_SOURCE_DIR}/cmake")
 include(SetClangRTLib)
 
-find_package(Lua 5.1 REQUIRED)
-find_package(LLVM REQUIRED CONFIG)
-
-set(LUA_NAME "lua${LUA_VERSION_MAJOR}.${LUA_VERSION_MINOR}")
-find_program(LUA_EXECUTABLE "${LUA_NAME}")
-if(NOT EXISTS ${LUA_EXECUTABLE})
-  message(FATAL_ERROR "${LUA_NAME} is required")
+if(LUA_INCLUDE_DIR AND LUA_LIBRARIES)
+  # When a path to a Lua library is passed outside, we should
+  # mimic a real CMake library to don't break code that depends on
+  # LUA_LIBRARIES.
+  add_library(liblua STATIC IMPORTED GLOBAL)
+  set_target_properties(liblua PROPERTIES
+    IMPORTED_LOCATION ${LUA_LIBRARIES})
+  set(LUA_LIBRARIES liblua)
+else()
+  find_package(Lua 5.1 REQUIRED)
+  set(LUA_NAME "lua${LUA_VERSION_MAJOR}.${LUA_VERSION_MINOR}")
+  find_program(LUA_EXECUTABLE "${LUA_NAME}")
+  if(NOT EXISTS ${LUA_EXECUTABLE})
+    message(FATAL_ERROR "${LUA_NAME} is required")
+  endif()
+  message(STATUS "Found Lua ${LUA_VERSION_STRING}")
+  message(STATUS "Found Lua interpreter ${LUA_EXECUTABLE}")
 endif()
 
-message(STATUS "Found Lua ${LUA_VERSION_STRING}")
-message(STATUS "Found Lua interpreter ${LUA_EXECUTABLE}")
+find_package(LLVM REQUIRED CONFIG)
+
 message(STATUS "Found LLVM ${LLVM_VERSION}")
 
 if(${LLVM_PACKAGE_VERSION} VERSION_LESS 5.0.0)
diff --git a/luzer/CMakeLists.txt b/luzer/CMakeLists.txt
index ac026f1d..0226fcbd 100644
--- a/luzer/CMakeLists.txt
+++ b/luzer/CMakeLists.txt
@@ -15,24 +15,24 @@ set(LUZER_SOURCES luzer.c
 
 add_library(${CMAKE_PROJECT_NAME} SHARED ${LUZER_SOURCES})
 target_include_directories(${CMAKE_PROJECT_NAME} PRIVATE
-	${LUA_INCLUDE_DIR}
+    ${LUA_INCLUDE_DIR}
 )
 target_link_libraries(${CMAKE_PROJECT_NAME} PRIVATE
-	${LUA_LIBRARIES}
-	-fsanitize=fuzzer-no-link
-	${FUZZER_NO_MAIN_LIBRARY}
+    ${LUA_LIBRARIES}
+    -fsanitize=fuzzer-no-link
+    ${FUZZER_NO_MAIN_LIBRARY}
 )
 target_compile_options(${CMAKE_PROJECT_NAME} PRIVATE
-	-D_FORTIFY_SOURCE=2
-	-fpie
-	-fPIC
-	-Wall
-	-Wextra
-	-Werror
-	-Wpedantic
-	-Wno-unused-parameter
-	-pedantic
-	-fsanitize=fuzzer-no-link
+    -D_FORTIFY_SOURCE=2
+    -fpie
+    -fPIC
+    -Wall
+    -Wextra
+    -Werror
+    -Wpedantic
+    -Wno-unused-parameter
+    -pedantic
+    -fsanitize=fuzzer-no-link
 )
 set_target_properties(${CMAKE_PROJECT_NAME} PROPERTIES PREFIX "")
 
diff --git a/luzer/compat.c b/luzer/compat.c
index 2bc398c9..e4e73e0f 100644
--- a/luzer/compat.c
+++ b/luzer/compat.c
@@ -1,8 +1,18 @@
-#include <lua.h>
-#include <lualib.h>
-#include <lauxlib.h>
+#include "lua.h"
+#include "lualib.h"
+#include "lauxlib.h"
 
-#if !defined(LUA_VERSION_NUM) || LUA_VERSION_NUM == 501
+/*
+ * PUC-Rio Lua uses `lconfig_h` as include guard for `luaconf.h`,
+ * LuaJIT uses `luaconf_h`. If you use PUC-Rio's include files
+ * but LuaJIT's library, you will need to define the macro
+ * IS_LUAJIT yourself!
+ */
+#if !defined(IS_LUAJIT) && defined(luaconf_h)
+#define IS_LUAJIT
+#endif
+
+#if !defined(LUA_VERSION_NUM) || (LUA_VERSION_NUM == 501 && !defined(IS_LUAJIT))
 
 static int
 countlevels(lua_State *L) {
diff --git a/luzer/compat.h b/luzer/compat.h
index 7859dbb4..2fa184f4 100644
--- a/luzer/compat.h
+++ b/luzer/compat.h
@@ -1,7 +1,11 @@
 #ifndef LUZER_COMPAT_H_
 #define LUZER_COMPAT_H_
 
+#if !defined(LUA_VERSION_NUM) || (LUA_VERSION_NUM == 501 && !defined(IS_LUAJIT))
+
 void luaL_traceback(lua_State *L, lua_State *L1,
 					const char *msg, int level);
 
+#endif
+
 #endif  // LUZER_COMPAT_H_
diff --git a/luzer/custom_mutator_lib.c b/luzer/custom_mutator_lib.c
index 4895b639..fa3691f9 100644
--- a/luzer/custom_mutator_lib.c
+++ b/luzer/custom_mutator_lib.c
@@ -7,8 +7,8 @@
 #include <stdio.h>
 #include <stdlib.h>
 #include <stdint.h>
-#include <lua.h>
-#include <lauxlib.h>
+#include "lua.h"
+#include "lauxlib.h"
 
 #include "luzer.h"
 
diff --git a/luzer/fuzzed_data_provider.cc b/luzer/fuzzed_data_provider.cc
index 775d0ba0..2beaa735 100644
--- a/luzer/fuzzed_data_provider.cc
+++ b/luzer/fuzzed_data_provider.cc
@@ -7,9 +7,9 @@
 #ifdef __cplusplus
 extern "C" {
 #endif
-#include <lua.h>
-#include <lauxlib.h>
-#include <lualib.h>
+#include "lua.h"
+#include "lauxlib.h"
+#include "lualib.h"
 #include <float.h>
 #ifdef __cplusplus
 } /* extern "C" */
diff --git a/luzer/luzer.c b/luzer/luzer.c
index a7a4d14b..3ee2124e 100644
--- a/luzer/luzer.c
+++ b/luzer/luzer.c
@@ -5,9 +5,9 @@
  */
 
 #define _GNU_SOURCE
-#include <lua.h>
-#include <lualib.h>
-#include <lauxlib.h>
+#include "lua.h"
+#include "lualib.h"
+#include "lauxlib.h"
 #include <stdint.h>
 #include <stdlib.h>
 #include <stdio.h>
diff --git a/luzer/tracer.c b/luzer/tracer.c
index dfb4f01f..c62d85ad 100644
--- a/luzer/tracer.c
+++ b/luzer/tracer.c
@@ -20,7 +20,7 @@
  * atheris/src/native/counters.cc
  */
 
-#include <lua.h>
+#include "lua.h"
 #include <stdint.h>
 #include <string.h> /* strlen */