diff --git a/src/shared/fdset.c b/src/shared/fdset.c
index f5dcdce218..b62f15c649 100644
--- a/src/shared/fdset.c
+++ b/src/shared/fdset.c
@@ -54,6 +54,8 @@ void fdset_close(FDSet *s) {
         void *p;
 
         while ((p = set_steal_first(MAKE_SET(s)))) {
+                int fd = PTR_TO_FD(p);
+
                 /* Valgrind's fd might have ended up in this set here, due to fdset_new_fill(). We'll ignore
                  * all failures here, so that the EBADFD that valgrind will return us on close() doesn't
                  * influence us */
@@ -62,8 +64,14 @@ void fdset_close(FDSet *s) {
                  * which has no effect at all, since they are only duplicates. So don't be surprised about
                  * these log messages. */
 
-                log_debug("Closing set fd %i", PTR_TO_FD(p));
-                (void) close_nointr(PTR_TO_FD(p));
+                if (DEBUG_LOGGING) {
+                        _cleanup_free_ char *path = NULL;
+
+                        (void) fd_get_path(fd, &path);
+                        log_debug("Closing set fd %i (%s)", fd, strna(path));
+                }
+
+                (void) close_nointr(fd);
         }
 }