diff --git a/src/core/CCOpt.ml b/src/core/CCOpt.ml
index 9c9d0146..c6f5ea8c 100644
--- a/src/core/CCOpt.ml
+++ b/src/core/CCOpt.ml
@@ -4,10 +4,6 @@
 
 type 'a t = 'a option
 
-let bind f = function
-  | None -> None
-  | Some x -> f x
-
 let map f = function
   | None -> None
   | Some x -> Some (f x)
@@ -42,14 +38,14 @@ let equal f o1 o2 = match o1, o2 with
 
 let return x = Some x
 
-let (>>=) o f = match o with
-  | None -> None
-  | Some x -> f x
-
 let flat_map f o = match o with
   | None -> None
   | Some x -> f x
 
+let bind o f = flat_map f o
+
+let (>>=) = bind
+
 let pure x = Some x
 
 let (<*>) f x = match f, x with
diff --git a/src/core/CCOpt.mli b/src/core/CCOpt.mli
index bd91f703..5b806c54 100644
--- a/src/core/CCOpt.mli
+++ b/src/core/CCOpt.mli
@@ -4,10 +4,6 @@
 
 type +'a t = 'a option
 
-val bind : ('a -> 'b t) -> 'a t -> 'b t
-(** [bind f o] if [o] is [Some v] then [f v] else [None]
-    @since NEXT_RELEASE *)
-
 val map : ('a -> 'b) -> 'a t -> 'b t
 (** Transform the element inside, if any. *)
 
@@ -39,12 +35,17 @@ val return : 'a -> 'a t
 val (>|=) : 'a t -> ('a -> 'b) -> 'b t
 (** Infix version of {!map}. *)
 
-val (>>=) : 'a t -> ('a -> 'b t) -> 'b t
-(** Monadic bind. *)
-
 val flat_map : ('a -> 'b t) -> 'a t -> 'b t
 (** Flip version of {!>>=}. *)
 
+val bind : 'a t -> ('a -> 'b t) -> 'b t
+(** Monadic bind.
+    [bind f o] if [o] is [Some v] then [f v] else [None]
+    @since NEXT_RELEASE *)
+
+val (>>=) : 'a t -> ('a -> 'b t) -> 'b t
+(** Infix version of {!bind}. *)
+
 val map2 : ('a -> 'b -> 'c) -> 'a t -> 'b t -> 'c t
 (** [map2 f o1 o2] maps ['a option] and ['b option] to a ['c option] using [f]. *)