diff --git a/src/core/CCHeap.ml b/src/core/CCHeap.ml
index 57d080f2..b201eb7b 100644
--- a/src/core/CCHeap.ml
+++ b/src/core/CCHeap.ml
@@ -15,6 +15,15 @@ module type PARTIAL_ORD = sig
   (** [leq x y] shall return [true] iff [x] is lower or equal to [y]. *)
 end
 
+module type TOTAL_ORD = sig
+  type t
+  val compare : t -> t -> int
+  (** [compare a b] shall return
+      a negative value if [a] is smaller than [b],
+      [0] if [a] and [b] are equal or
+      a positive value if [a] is greater than [b] *)
+end
+
 (*$inject
   module H = CCHeap.Make(struct
     type t = int
@@ -403,3 +412,18 @@ module Make(E : PARTIAL_ORD) : S with type elt = E.t = struct
          pp_elt out x)
       h
 end
+
+module Make_from_compare(E : TOTAL_ORD) =
+  Make(struct
+    type t = E.t
+    let leq a b = E.compare a b <= 0
+  end)
+
+(*$QR
+  Q.(list_of_size Gen.(return 1_000) int) (fun l ->
+    let module H' = Make_from_compare(Int) in
+    let h = H'.of_list l in
+    let l' = H'.to_list_sorted h in
+    is_sorted l'
+  )
+*)
diff --git a/src/core/CCHeap.mli b/src/core/CCHeap.mli
index 16bb1452..c7bbf568 100644
--- a/src/core/CCHeap.mli
+++ b/src/core/CCHeap.mli
@@ -15,6 +15,15 @@ module type PARTIAL_ORD = sig
   (** [leq x y] shall return [true] iff [x] is lower or equal to [y]. *)
 end
 
+module type TOTAL_ORD = sig
+  type t
+  val compare : t -> t -> int
+  (** [compare a b] shall return
+      a negative value if [a] is smaller than [b],
+      [0] if [a] and [b] are equal or
+      a positive value if [a] is greater than [b] *)
+end
+
 module type S = sig
   type elt
   type t
@@ -138,3 +147,8 @@ module type S = sig
 end
 
 module Make(E : PARTIAL_ORD) : S with type elt = E.t
+
+(** A convenient version Make that take a TOTAL_ORD instead
+    It allow to directly pass modules that implement [compare]
+    without implementing [leq] *)
+module Make_from_compare(E : TOTAL_ORD) : S with type elt = E.t