diff --git a/wrap-find-debuginfo.sh b/wrap-find-debuginfo.sh
index 3157d69..6b9a835 100644
--- a/wrap-find-debuginfo.sh
+++ b/wrap-find-debuginfo.sh
@@ -15,9 +15,10 @@
 
 set -ex
 
-ldso_tmp="$(mktemp)"
-libc_tmp="$(mktemp)"
-libc_dlink_tmp="$(mktemp)"
+workdir="$(mktemp -d -t find_debuginfo.XXXXXX)"
+
+ldso_tmp="$workdir/ld.so"
+libc_tmp="$workdir/libc.so"
 
 # Prefer a separately installed debugedit over the RPM-integrated one.
 if command -v debugedit >/dev/null ; then
@@ -27,7 +28,7 @@ else
 fi
 
 cleanup () {
-    rm -f "$ldso_tmp" "$libc_tmp" "$libc_dlink_tmp"
+    rm -rf "$workdir"
 }
 trap cleanup 0
 
@@ -69,7 +70,7 @@ cp "$libc_path" "$libc_tmp"
 
 # libc.so.6: Extract the .gnu_debuglink section
 objcopy -j.gnu_debuglink --set-section-flags .gnu_debuglink=alloc \
-  -O binary "$libc_path" "$libc_dlink_tmp"
+  -O binary "$libc_path" "$libc_tmp.debuglink"
 
 # Restore the original files.
 cp "$ldso_tmp" "$ldso_path"
@@ -80,7 +81,7 @@ objcopy --merge-notes "$ldso_path"
 objcopy --merge-notes "$libc_path"
 
 # libc.so.6: Restore the .gnu_debuglink section
-objcopy --add-section .gnu_debuglink="$libc_dlink_tmp" "$libc_path"
+objcopy --add-section .gnu_debuglink="$libc_tmp.debuglink" "$libc_path"
 
 # ld.so does not have separated debuginfo and so the debuginfo file
 # generated by find-debuginfo is redundant.  Therefore, remove it.