diff --git a/criu/Makefile b/criu/Makefile
index 4f4d673b5..c2ee5757f 100644
--- a/criu/Makefile
+++ b/criu/Makefile
@@ -52,12 +52,12 @@ $(ARCH-LIB): syscalls_lib
 
 #
 # PIE library code.
-criu/pie/lib.a: $(ARCH-LIB)
+criu/pie/native.lib.a: $(ARCH-LIB)
 	$(Q) $(MAKE) $(call build-as,Makefile.library,criu/pie) all
 
 #
 # PIE code blobs themseves.
-pie: criu/pie/lib.a
+pie: criu/pie/native.lib.a
 	$(Q) $(MAKE) $(build)=criu/pie all
 .PHONY: pie
 
@@ -66,7 +66,7 @@ criu/pie/%: pie
 
 #
 # CRIU executable
-PROGRAM-BUILTINS	+= criu/pie/lib.a
+PROGRAM-BUILTINS	+= criu/pie/native.lib.a
 PROGRAM-BUILTINS	+= images/built-in.o
 PROGRAM-BUILTINS	+= $(obj)/built-in.o
 PROGRAM-BUILTINS	+= $(ARCH-LIB)
diff --git a/criu/pie/Makefile b/criu/pie/Makefile
index c0eb2db8a..b7db1a374 100644
--- a/criu/pie/Makefile
+++ b/criu/pie/Makefile
@@ -79,9 +79,9 @@ ifeq ($(strip $(V)),)
         piegen_stdout := >/dev/null
 endif
 
-$(obj)/%.built-in.bin.o: $(obj)/%.built-in.o $(obj)/lib.a $(obj)/$(PIELDS)
+$(obj)/%.built-in.bin.o: $(obj)/%.built-in.o $(obj)/native.lib.a $(obj)/$(PIELDS)
 	$(call msg-gen, $@)
-	$(Q) $(LD) -r -T $(obj)/$(PIELDS) -o $@ $< $(obj)/lib.a
+	$(Q) $(LD) -r -T $(obj)/$(PIELDS) -o $@ $< $(obj)/native.lib.a
 
 $(obj)/%-blob.h: $(obj)/%.built-in.bin.o $(obj)/$(PIELDS) compel/compel
 	$(call msg-gen, $@)
diff --git a/criu/pie/Makefile.library b/criu/pie/Makefile.library
index dce650a51..1958393b4 100644
--- a/criu/pie/Makefile.library
+++ b/criu/pie/Makefile.library
@@ -1,26 +1,28 @@
-lib-y			+= log-simple.o
-lib-y			+= util-fd.o
-lib-y			+= util.o
-lib-y			+= string.o
+target				:= native
+
+$(target)-lib-y			+= log-simple.o
+$(target)-lib-y			+= util-fd.o
+$(target)-lib-y			+= util.o
+$(target)-lib-y			+= string.o
 
 ifeq ($(VDSO),y)
-        lib-y		+= util-vdso.o
-        lib-y		+= parasite-vdso.o
-        lib-y		+= ./$(ARCH_DIR)/vdso-pie.o
+        $(target)-lib-y		+= util-vdso.o
+        $(target)-lib-y		+= parasite-vdso.o
+        $(target)-lib-y		+= ./$(ARCH_DIR)/vdso-pie.o
 
         ifeq ($(SRCARCH),aarch64)
-                lib-y	+= ./$(ARCH_DIR)/intraprocedure.o
+                $(target)-lib-y	+= ./$(ARCH_DIR)/intraprocedure.o
         endif
 
         ifeq ($(SRCARCH),ppc64)
-                lib-y	+= ./$(ARCH_DIR)/vdso-trampoline.o
+                $(target)-lib-y	+= ./$(ARCH_DIR)/vdso-trampoline.o
         endif
 endif
 
 ifeq ($(SRCARCH),ppc64)
-        lib-y		+= ./$(ARCH_DIR)/memcpy_power7.o
-        lib-y		+= ./$(ARCH_DIR)/memcmp_64.o
-        lib-y		+= ./$(ARCH_DIR)/misc.o
+        $(target)-lib-y	+= ./$(ARCH_DIR)/memcpy_power7.o
+        $(target)-lib-y	+= ./$(ARCH_DIR)/memcmp_64.o
+        $(target)-lib-y	+= ./$(ARCH_DIR)/misc.o
 endif
 
 ifeq ($(SRCARCH),x86)