diff --git a/lisp/progmodes/project.el b/lisp/progmodes/project.el
index 1d0d1bc58a4..1023b75e668 100644
--- a/lisp/progmodes/project.el
+++ b/lisp/progmodes/project.el
@@ -787,11 +787,7 @@ pattern to search for."
 (defun project--find-regexp-in-files (regexp files)
   (unless files
     (user-error "Empty file list"))
-  (let ((xrefs (xref-matches-in-files
-                regexp
-                ;; FIXME: `xref-matches-in-files' should work with
-                ;; quoted filenames.
-                (mapcar #'file-name-unquote files))))
+  (let ((xrefs (xref-matches-in-files regexp files)))
     (unless xrefs
       (user-error "No matches for: %s" regexp))
     xrefs))
diff --git a/lisp/progmodes/xref.el b/lisp/progmodes/xref.el
index 3d2f21ab52f..5d99915347b 100644
--- a/lisp/progmodes/xref.el
+++ b/lisp/progmodes/xref.el
@@ -1534,6 +1534,8 @@ FILES must be a list of absolute file names."
                        #'tramp-file-local-name
                        #'file-local-name)
                    files)))
+    (when (file-name-quoted-p (car files))
+      (setq files (mapcar #'file-name-unquote files)))
     (with-current-buffer output
       (erase-buffer)
       (with-temp-buffer