diff --git a/src/osd/OSD.cc b/src/osd/OSD.cc
index c8078787df2..e83e29b8bb6 100644
--- a/src/osd/OSD.cc
+++ b/src/osd/OSD.cc
@@ -36,6 +36,7 @@
 
 #include "include/types.h"
 #include "include/compat.h"
+#include "include/random.h"
 
 #include "OSD.h"
 #include "OSDMap.h"
@@ -169,8 +170,6 @@
 #define dout_prefix _prefix(_dout, whoami, get_osdmap_epoch())
 
 
-const double OSD::OSD_TICK_INTERVAL = 1.0;
-
 static ostream& _prefix(std::ostream* _dout, int whoami, epoch_t epoch) {
   return *_dout << "osd." << whoami << " " << epoch << " ";
 }
@@ -603,8 +602,8 @@ void OSDService::promote_throttle_recalibrate()
   promote_probability_millis = prob;
 
   // set hard limits for this interval to mitigate stampedes
-  promote_max_objects = target_obj_sec * OSD::OSD_TICK_INTERVAL * 2;
-  promote_max_bytes = target_bytes_sec * OSD::OSD_TICK_INTERVAL * 2;
+  promote_max_objects = target_obj_sec * osd->OSD_TICK_INTERVAL * 2;
+  promote_max_bytes = target_bytes_sec * osd->OSD_TICK_INTERVAL * 2;
 }
 
 // -------------------------------------
@@ -1978,6 +1977,14 @@ OSD::~OSD()
   delete store;
 }
 
+double OSD::get_tick_interval() const
+{
+  // vary +/- 5% to avoid scrub scheduling livelocks
+  constexpr auto delta = 0.05;
+  return (OSD_TICK_INTERVAL *
+	  ceph::util::generate_random_number(1.0 - delta, 1.0 + delta));
+}
+
 void cls_initialize(ClassHandler *ch);
 
 void OSD::handle_signal(int signum)
@@ -2606,10 +2613,12 @@ int OSD::init()
   heartbeat_thread.create("osd_srv_heartbt");
 
   // tick
-  tick_timer.add_event_after(cct->_conf->osd_heartbeat_interval, new C_Tick(this));
+  tick_timer.add_event_after(get_tick_interval(),
+			     new C_Tick(this));
   {
     Mutex::Locker l(tick_timer_lock);
-    tick_timer_without_osd_lock.add_event_after(cct->_conf->osd_heartbeat_interval, new C_Tick_WithoutOSDLock(this));
+    tick_timer_without_osd_lock.add_event_after(get_tick_interval(),
+						new C_Tick_WithoutOSDLock(this));
   }
 
   osd_lock.Unlock();
@@ -4813,7 +4822,7 @@ void OSD::tick()
 
   do_waiters();
 
-  tick_timer.add_event_after(OSD_TICK_INTERVAL, new C_Tick(this));
+  tick_timer.add_event_after(get_tick_interval(), new C_Tick(this));
 }
 
 void OSD::tick_without_osd_lock()
@@ -4884,7 +4893,8 @@ void OSD::tick_without_osd_lock()
 
   mgrc.update_daemon_health(get_health_metrics());
   service.kick_recovery_queue();
-  tick_timer_without_osd_lock.add_event_after(OSD_TICK_INTERVAL, new C_Tick_WithoutOSDLock(this));
+  tick_timer_without_osd_lock.add_event_after(get_tick_interval(),
+					      new C_Tick_WithoutOSDLock(this));
 }
 
 // Usage:
diff --git a/src/osd/OSD.h b/src/osd/OSD.h
index e435b99000a..18739f52dfa 100644
--- a/src/osd/OSD.h
+++ b/src/osd/OSD.h
@@ -1237,7 +1237,8 @@ public:
 
 protected:
 
-  static const double OSD_TICK_INTERVAL; // tick interval for tick_timer and tick_timer_without_osd_lock
+  const double OSD_TICK_INTERVAL = { 1.0 };
+  double get_tick_interval() const;
 
   AuthAuthorizeHandlerRegistry *authorize_handler_cluster_registry;
   AuthAuthorizeHandlerRegistry *authorize_handler_service_registry;