diff --git a/Makefile b/Makefile
index 98a0588416..3716dadc08 100644
--- a/Makefile
+++ b/Makefile
@@ -2717,7 +2717,7 @@ bin-wrappers/%: wrap-for-bin.sh
 	@mkdir -p bin-wrappers
 	$(QUIET_GEN)sed -e '1s|#!.*/sh|#!$(SHELL_PATH_SQ)|' \
 	     -e 's|@@BUILD_DIR@@|$(shell pwd)|' \
-	     -e 's|@@PROG@@|$(patsubst test-%,t/helper/test-%,$(@F))|' < $< > $@ && \
+	     -e 's|@@PROG@@|$(patsubst test-%,t/helper/test-%$(X),$(@F))$(patsubst git%,$(X),$(filter $(@F),$(BINDIR_PROGRAMS_NEED_X)))|' < $< > $@ && \
 	chmod +x $@
 
 # GNU make supports exporting all variables by "export" without parameters.