diff --git a/gunicorn/config.py b/gunicorn/config.py
index c41add5c..2094f1fe 100644
--- a/gunicorn/config.py
+++ b/gunicorn/config.py
@@ -628,6 +628,23 @@ class MaxRequests(Setting):
         """
 
 
+class MaxRequestsJitter(Setting):
+    name = "max_requests_jitter"
+    section = "Worker Processes"
+    cli = ["--max-requests-jitter"]
+    meta = "INT"
+    validator = validate_pos_int
+    type = int
+    default = 0
+    desc = """\
+        The maximum jitter to add to the max-requests setting.
+
+        The jitter causes the restart per worker to be randomized by
+        randint(0, max_requests_jitter). This is intended to stagger worker
+        restarts to avoid all workers restarting at the same time.
+        """
+
+
 class Timeout(Setting):
     name = "timeout"
     section = "Worker Processes"
diff --git a/gunicorn/workers/base.py b/gunicorn/workers/base.py
index 8f75805f..599fb62e 100644
--- a/gunicorn/workers/base.py
+++ b/gunicorn/workers/base.py
@@ -7,6 +7,7 @@ from datetime import datetime
 import os
 import signal
 import sys
+from random import randint
 
 
 from gunicorn import util
@@ -44,7 +45,8 @@ class Worker(object):
         self.aborted = False
 
         self.nr = 0
-        self.max_requests = cfg.max_requests or MAXSIZE
+        jitter = randint(0, cfg.max_requests_jitter)
+        self.max_requests = cfg.max_requests + jitter or MAXSIZE
         self.alive = True
         self.log = log
         self.tmp = WorkerTmp(cfg)