diff --git a/iconvdata/Makefile b/iconvdata/Makefile
index 6eeb92f4b3..8925a684eb 100644
--- a/iconvdata/Makefile
+++ b/iconvdata/Makefile
@@ -137,10 +137,13 @@ charmaps = ../localedata/charmaps
 extra-modules-left := $(modules)
 include extra-module.mk
 
+gconv-modules = gconv-modules.conf
+modpfx = $(objpfx)gconv-modules.d/
 
 extra-objs	+= $(modules.so)
 install-others	= $(addprefix $(inst_gconvdir)/, $(modules.so))	\
-		  $(inst_gconvdir)/gconv-modules
+		  $(addprefix $(inst_gconvdir)/gconv-modules.d/, \
+			      $(gconv-modules))
 
 # We can build the conversion tables for numerous charsets automatically.
 
@@ -182,7 +185,7 @@ generated += $(generated-modules:=.h) $(generated-modules:=.stmp) \
 	     iconv-test.out iconv-rules tst-loading.mtrace	 \
 	     mtrace-tst-loading.out tst-tables.out iconv-test.xxx
 ifdef objpfx
-generated += gconv-modules
+generated += $(addprefix gconv-modules.d/,$(gconv-modules))
 endif
 
 # Rules to generate the headers.
@@ -250,7 +253,8 @@ headers: $(addprefix $(objpfx), $(generated-modules:=.h))
 $(addprefix $(inst_gconvdir)/, $(modules.so)): \
     $(inst_gconvdir)/%: $(objpfx)% $(+force)
 	$(do-install-program)
-$(inst_gconvdir)/gconv-modules: $(objpfx)gconv-modules $(+force)
+$(addprefix $(inst_gconvdir)/gconv-modules.d/, $(gconv-modules)): \
+    $(inst_gconvdir)/gconv-modules.d/%: $(modpfx)% $(+force)
 	$(do-install)
 ifeq (no,$(cross-compiling))
 # Update the $(prefix)/lib/gconv/gconv-modules.cache file. This is necessary
@@ -303,28 +307,29 @@ $(objpfx)mtrace-tst-loading.out: $(objpfx)tst-loading.out
 	$(common-objpfx)malloc/mtrace $(objpfx)tst-loading.mtrace > $@; \
 	$(evaluate-test)
 
-$(objpfx)bug-iconv1.out: $(objpfx)gconv-modules \
+$(objpfx)bug-iconv1.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so))
-$(objpfx)bug-iconv2.out: $(objpfx)gconv-modules \
+$(objpfx)bug-iconv2.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so))
-$(objpfx)bug-iconv3.out: $(objpfx)gconv-modules \
+$(objpfx)bug-iconv3.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so))
-$(objpfx)bug-iconv5.out: $(objpfx)gconv-modules \
+$(objpfx)bug-iconv5.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so))
-$(objpfx)tst-loading.out: $(objpfx)gconv-modules \
+$(objpfx)tst-loading.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			  $(addprefix $(objpfx),$(modules.so))
-$(objpfx)tst-iconv4.out: $(objpfx)gconv-modules \
+$(objpfx)tst-iconv4.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so))
-$(objpfx)tst-iconv7.out: $(objpfx)gconv-modules \
+$(objpfx)tst-iconv7.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so))
-$(objpfx)bug-iconv10.out: $(objpfx)gconv-modules \
+$(objpfx)bug-iconv10.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			  $(addprefix $(objpfx),$(modules.so))
-$(objpfx)bug-iconv12.out: $(objpfx)gconv-modules \
+$(objpfx)bug-iconv12.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			  $(addprefix $(objpfx),$(modules.so))
-$(objpfx)bug-iconv14.out: $(objpfx)gconv-modules \
+$(objpfx)bug-iconv14.out: $(addprefix $(modpfx), $(gconv-modules)) \
 			  $(addprefix $(objpfx),$(modules.so))
 
-$(objpfx)iconv-test.out: run-iconv-test.sh $(objpfx)gconv-modules \
+$(objpfx)iconv-test.out: run-iconv-test.sh \
+			 $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so)) \
 			 $(common-objdir)/iconv/iconv_prog TESTS
 	iconv_modules="$(modules)" \
@@ -332,7 +337,8 @@ $(objpfx)iconv-test.out: run-iconv-test.sh $(objpfx)gconv-modules \
 		 '$(run-program-env)' > $@; \
 	$(evaluate-test)
 
-$(objpfx)tst-tables.out: tst-tables.sh $(objpfx)gconv-modules \
+$(objpfx)tst-tables.out: tst-tables.sh \
+			 $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so)) \
 			 $(objpfx)tst-table-from $(objpfx)tst-table-to
 	$(SHELL) $< $(common-objpfx) $(common-objpfx)iconvdata/ \
@@ -345,9 +351,13 @@ do-tests-clean common-mostlyclean: tst-tables-clean
 tst-tables-clean:
 	-rm -f $(objpfx)tst-*.table $(objpfx)tst-EUC-TW.irreversible
 
-$(objpfx)gconv-modules: gconv-modules
-	cat $(sysdeps-gconv-modules) $^ > $@
+$(modpfx):
+	mkdir -p $@
+
+$(modpfx)%: % $(modpfx)
+	cp $< $@
 
 # Test requires BIG5HKSCS.
-$(objpfx)tst-iconv-big5-hkscs-to-2ucs4.out: $(objpfx)gconv-modules \
+$(objpfx)tst-iconv-big5-hkscs-to-2ucs4.out: \
+			 $(addprefix $(modpfx), $(gconv-modules)) \
 			 $(addprefix $(objpfx),$(modules.so))
diff --git a/iconvdata/gconv-modules b/iconvdata/gconv-modules.conf
similarity index 100%
rename from iconvdata/gconv-modules
rename to iconvdata/gconv-modules.conf
diff --git a/localedata/Makefile b/localedata/Makefile
index 14e04cd3c5..364d7c758d 100644
--- a/localedata/Makefile
+++ b/localedata/Makefile
@@ -183,7 +183,7 @@ install-others := $(addprefix $(inst_i18ndir)/, \
 			      $(locales))
 endif
 
-tests: $(objdir)/iconvdata/gconv-modules
+tests: $(objdir)/iconvdata/gconv-modules.d/gconv-modules.conf
 
 tests-static += tst-langinfo-newlocale-static tst-langinfo-setlocale-static
 
@@ -464,5 +464,5 @@ $(objpfx)mtrace-tst-leaks.out: $(objpfx)tst-leaks.out
 bug-setlocale1-ENV-only = LOCPATH=$(objpfx) LC_CTYPE=de_DE.UTF-8
 bug-setlocale1-static-ENV-only = $(bug-setlocale1-ENV-only)
 
-$(objdir)/iconvdata/gconv-modules:
+$(objdir)/iconvdata/gconv-modules.d/gconv-modules.conf:
 	$(MAKE) -C ../iconvdata subdir=iconvdata $@
diff --git a/sysdeps/s390/Makefile b/sysdeps/s390/Makefile
index a8c49c928f..ade8663218 100644
--- a/sysdeps/s390/Makefile
+++ b/sysdeps/s390/Makefile
@@ -21,13 +21,25 @@ lib := iconvdata
 include $(patsubst %,$(..)libof-iterator.mk,$(cpp-srcs-left))
 
 extra-objs      += $(addsuffix .so, $(s390x-iconv-modules))
-install-others  += $(patsubst %, $(inst_gconvdir)/%.so, $(s390x-iconv-modules))
+install-others  += $(patsubst %, $(inst_gconvdir)/%.so, \
+				 $(s390x-iconv-modules)) \
+		   $(inst_gconvdir)/gconv-modules.d/gconv-modules-s390.conf
 
 $(patsubst %, $(inst_gconvdir)/%.so, $(s390x-iconv-modules)) : \
 $(inst_gconvdir)/%.so: $(objpfx)%.so $(+force)
 	$(do-install-program)
 
-sysdeps-gconv-modules = ../sysdeps/s390/gconv-modules
+ifdef objpfx
+generated += gconv-modules.d/gconv-modules-s390.conf
+endif
+
+$(inst_gconvdir)/gconv-modules.d/gconv-modules-s390.conf: \
+		$(modpfx)gconv-modules-s390.conf $(+force)
+	$(do-install)
+
+$(modpfx)gconv-modules-s390.conf: ../sysdeps/s390/gconv-modules-s390.conf \
+				  $(modpfx)
+	cp $< $@
 endif
 
 ifeq ($(subdir),elf)
diff --git a/sysdeps/s390/gconv-modules b/sysdeps/s390/gconv-modules-s390.conf
similarity index 100%
rename from sysdeps/s390/gconv-modules
rename to sysdeps/s390/gconv-modules-s390.conf