diff --git a/lib/miou.ml b/lib/miou.ml
index 4ec86fc..2f991b5 100644
--- a/lib/miou.ml
+++ b/lib/miou.ml
@@ -231,11 +231,25 @@ type pool = {
   ; fail: bool ref
   ; working_counter: int ref
   ; domains_counter: int ref
+  ; tasks_is_empty: bool Atomic.t
 }
 (* NOTE(dinosaure): when we create the pool, we do a copy (eg.
    [{ pool with ... }]) to includes spawned domains. To continue sharing mutable
    values when copying, we need to use [ref] rather than [mutable]. *)
 
+(* NOTE(dinosaure): The [tasks_is_empty] variable is used to determine whether
+   domains should re-observe the shared heap (via [worker]) to consume a task
+   intended for them or continue with the tasks they have to do according to
+   their internal heap.
+
+   This means that we don't have to use the system mutex too much and that the
+   domain only resynchronises with the shared heap when necessary - i.e. when
+   there is a task waiting to be assigned to a domain.
+
+   The value is atomic because it must be observed by several domains. Although
+   its modification (Atomic.set) is protected by the mutex, its observation is
+   not (so a domain could observe ‘while’ the variable is being modified). *)
+
 let get_domain_from_uid pool ~uid =
   List.find (fun domain -> Domain_uid.equal domain.uid uid) pool.domains
 
@@ -380,12 +394,13 @@ module Domain = struct
   let add_into_domain = add_into_domain
 
   let add_into_pool pool elt =
-    Mutex.lock pool.mutex;
     let direction =
       match elt with
       | Pool_cancel _ -> Miou_sequence.Left
       | _ -> Miou_sequence.Right
     in
+    Mutex.lock pool.mutex;
+    Atomic.set pool.tasks_is_empty false;
     Miou_sequence.add direction pool.tasks elt;
     Condition.broadcast pool.condition_pending_work;
     Mutex.unlock pool.mutex;
@@ -795,7 +810,7 @@ module Domain = struct
     in
     Miou_sequence.iter_node ~f:apply domain.hooks
 
-  let run pool (domain : domain) =
+  let rec run pool (domain : domain) =
     run_hooks domain;
     match Heapq.extract_min_exn domain.tasks with
     | exception Heapq.Empty ->
@@ -806,7 +821,9 @@ module Domain = struct
             m "[%a] does %a" Domain_uid.pp domain.uid _pp_domain_elt elt);
         once pool domain elt;
         if system_events_suspended domain then
-          unblock_awaits_with_system_events pool domain
+          unblock_awaits_with_system_events pool domain;
+        if Heapq.is_empty domain.tasks = false && Atomic.get pool.tasks_is_empty
+        then run pool domain
 
   let self () =
     let { uid; _ } = Effect.perform Self_domain in
@@ -886,6 +903,7 @@ module Pool = struct
         done;
         if !(pool.stop) then raise_notrace Exit;
         transfer_all_tasks pool domain;
+        Atomic.set pool.tasks_is_empty (Miou_sequence.is_empty pool.tasks);
         incr pool.working_counter;
         Mutex.unlock pool.mutex;
         Domain.run pool domain;
@@ -956,6 +974,7 @@ module Pool = struct
       ; domains= []
       ; dom0
       ; to_dom0= Queue.create ()
+      ; tasks_is_empty= Atomic.make true
       }
     in
     let clatch = Clatch.create domains_counter in