diff --git a/lisp/eshell/esh-proc.el b/lisp/eshell/esh-proc.el
index 94401c5daa..97170eb04b 100644
--- a/lisp/eshell/esh-proc.el
+++ b/lisp/eshell/esh-proc.el
@@ -279,11 +279,9 @@ eshell-gather-process-output
 	    (let ((process-connection-type
 		   (unless (eshell-needs-pipe-p command)
 		     process-connection-type))
-		  (command (file-local-name command)))
+		  (command (file-local-name (expand-file-name command))))
 	      (apply 'start-file-process
-		     (file-name-nondirectory command) nil
-		     ;; `start-process' can't deal with relative filenames.
-		     (append (list (expand-file-name command)) args))))
+		     (file-name-nondirectory command) nil command args)))
       (eshell-record-process-object proc)
       (set-process-buffer proc (current-buffer))
       (if (eshell-interactive-output-p)
diff --git a/lisp/net/tramp.el b/lisp/net/tramp.el
index 5fa9f9a44d..5302659b32 100644
--- a/lisp/net/tramp.el
+++ b/lisp/net/tramp.el
@@ -4580,10 +4580,11 @@ tramp-eshell-directory-change
 	       (or
 		;; When `tramp-own-remote-path' is in `tramp-remote-path',
 		;; the remote path is only set in the session cache.
+                ;; Use `path-separator' as it does eshell.
 		(tramp-get-connection-property
 		 (tramp-get-connection-process v) "remote-path" nil)
 		(tramp-get-connection-property v "remote-path" nil))
-	       ":"))
+	       path-separator))
 	  (getenv "PATH"))))
 
 (eval-after-load "esh-util"