diff --git a/lisp/jsonrpc.el b/lisp/jsonrpc.el
index 90833e1c1d7..2d562610b3f 100644
--- a/lisp/jsonrpc.el
+++ b/lisp/jsonrpc.el
@@ -4,7 +4,7 @@
 
 ;; Author: João Távora <joaotavora@gmail.com>
 ;; Keywords: processes, languages, extensions
-;; Version: 1.0.15
+;; Version: 1.0.16
 ;; Package-Requires: ((emacs "25.2"))
 
 ;; This is a GNU ELPA :core package.  Avoid functionality that is not
@@ -548,11 +548,26 @@ With optional CLEANUP, kill any associated buffers."
         (delete-process proc)
         (funcall (jsonrpc--on-shutdown connection) connection)))))
 
-(defun jsonrpc--process-filter (proc string)
+(defvar jsonrpc--in-process-filter nil
+  "Non-nil if inside `jsonrpc--process-filter'.")
+
+(cl-defun jsonrpc--process-filter (proc string)
   "Called when new data STRING has arrived for PROC."
+  (when jsonrpc--in-process-filter
+    ;; Problematic recursive process filters may happen if
+    ;; `jsonrpc--connection-receive', called by us, eventually calls
+    ;; client code which calls `process-send-string' (which see) to,
+    ;; say send a follow-up message.  If that happens to writes enough
+    ;; bytes for pending output to be received, we will lose JSONRPC
+    ;; messages.  In that case, remove recursiveness by re-scheduling
+    ;; ourselves to run from within a timer as soon as possible
+    ;; (bug#60088)
+    (run-at-time 0 nil #'jsonrpc--process-filter proc string)
+    (cl-return-from jsonrpc--process-filter))
   (when (buffer-live-p (process-buffer proc))
     (with-current-buffer (process-buffer proc)
       (let* ((inhibit-read-only t)
+             (jsonrpc--in-process-filter t)
              (connection (process-get proc 'jsonrpc-connection))
              (expected-bytes (jsonrpc--expected-bytes connection)))
         ;; Insert the text, advancing the process marker.