diff --git a/lisp/files.el b/lisp/files.el
index 875ac55316..424cf1bea0 100644
--- a/lisp/files.el
+++ b/lisp/files.el
@@ -6193,42 +6193,48 @@ copy-directory
       (setq directory (directory-file-name (expand-file-name directory))
 	    newname (expand-file-name newname))
 
-      (cond ((not (directory-name-p newname))
-	     ;; If NEWNAME is not a directory name, create it;
-	     ;; that is where we will copy the files of DIRECTORY.
-	     (make-directory newname parents))
-	    ;; NEWNAME is a directory name.  If COPY-CONTENTS is non-nil,
-	    ;; create NEWNAME if it is not already a directory;
-	    ;; otherwise, create NEWNAME/[DIRECTORY-BASENAME].
-	    ((if copy-contents
-		 (or parents (not (file-directory-p newname)))
-	       (setq newname (concat newname
-				     (file-name-nondirectory directory))))
-	     (make-directory (directory-file-name newname) parents))
-	    (t (setq follow t)))
-
-      ;; Copy recursively.
-      (dolist (file
-	       ;; We do not want to copy "." and "..".
-	       (directory-files directory 'full
-				directory-files-no-dot-files-regexp))
-	(let ((target (concat (file-name-as-directory newname)
-			      (file-name-nondirectory file)))
-	      (filetype (car (file-attributes file))))
-	  (cond
-	   ((eq filetype t)       ; Directory but not a symlink.
-	    (copy-directory file target keep-time parents t))
-	   ((stringp filetype)    ; Symbolic link
-	    (make-symbolic-link filetype target t))
-	   ((copy-file file target t keep-time)))))
-
-      ;; Set directory attributes.
-      (let ((modes (file-modes directory))
-	    (times (and keep-time (file-attribute-modification-time
-				   (file-attributes directory))))
-	    (follow-flag (unless follow 'nofollow)))
-	(if modes (set-file-modes newname modes follow-flag))
-	(if times (set-file-times newname times follow-flag))))))
+      ;; If DIRECTORY is a symlink, create a NEWNAME symlink
+      ;; with the same target.
+      (if (file-symlink-p directory)
+	  (let ((target  (car (file-attributes directory))))
+	    (make-symbolic-link target newname t))
+        ;; Else proceed to copy as a regular directory
+        (cond ((not (directory-name-p newname))
+	       ;; If NEWNAME is not a directory name, create it;
+	       ;; that is where we will copy the files of DIRECTORY.
+	       (make-directory newname parents))
+	      ;; NEWNAME is a directory name.  If COPY-CONTENTS is non-nil,
+	      ;; create NEWNAME if it is not already a directory;
+	      ;; otherwise, create NEWNAME/[DIRECTORY-BASENAME].
+	      ((if copy-contents
+		   (or parents (not (file-directory-p newname)))
+	         (setq newname (concat newname
+				       (file-name-nondirectory directory))))
+	       (make-directory (directory-file-name newname) parents))
+	      (t (setq follow t)))
+
+        ;; Copy recursively.
+        (dolist (file
+	         ;; We do not want to copy "." and "..".
+	         (directory-files directory 'full
+				  directory-files-no-dot-files-regexp))
+	  (let ((target (concat (file-name-as-directory newname)
+			        (file-name-nondirectory file)))
+	        (filetype (car (file-attributes file))))
+	    (cond
+	     ((eq filetype t)       ; Directory but not a symlink.
+	      (copy-directory file target keep-time parents t))
+	     ((stringp filetype)    ; Symbolic link
+	      (make-symbolic-link filetype target t))
+	     ((copy-file file target t keep-time)))))
+
+        ;; Set directory attributes.
+        (let ((modes (file-modes directory))
+	      (times (and keep-time (file-attribute-modification-time
+				     (file-attributes directory))))
+	      (follow-flag (unless follow 'nofollow)))
+	  (if modes (set-file-modes newname modes follow-flag))
+	  (if times (set-file-times newname times follow-flag)))))))
 
 
 ;; At time of writing, only info uses this.