diff --git a/dune-project b/dune-project
index 4b281e0..1d2322a 100644
--- a/dune-project
+++ b/dune-project
@@ -13,7 +13,7 @@
  (description "An Lwt engine that allows running Lwt within an Eio event loop.")
  (depends
   (eio (>= 0.13))
-  (lwt (>= 5.7.0))
+  (lwt (>= 6.1.0))
   (mdx (and (>= 1.10.0) :with-test))
   (eio_main :with-test)))
 (using mdx 0.2)
diff --git a/lib/lwt_eio.ml b/lib/lwt_eio.ml
index b536b10..76aa187 100644
--- a/lib/lwt_eio.ml
+++ b/lib/lwt_eio.ml
@@ -123,9 +123,13 @@ let install_sigchld_handler = lazy (
   )
 )
 
+type Lwt_engine.engine_id += Engine_id__Eio_lwt
+
 let make_engine ~sw ~clock = object
   inherit Lwt_engine.abstract
 
+  method id = Engine_id__Eio_lwt
+
   method private cleanup =
     try Switch.fail sw Exit
     with Invalid_argument _ -> ()            (* Already destroyed *)
diff --git a/lwt_eio.opam b/lwt_eio.opam
index 369df90..a4983b0 100644
--- a/lwt_eio.opam
+++ b/lwt_eio.opam
@@ -12,7 +12,7 @@ bug-reports: "https://github.com/ocaml-multicore/lwt_eio/issues"
 depends: [
   "dune" {>= "3.8"}
   "eio" {>= "0.13"}
-  "lwt" {>= "5.7.0"}
+  "lwt" {>= "6.1.0"}
   "mdx" {>= "1.10.0" & with-test}
   "eio_main" {with-test}
   "odoc" {with-doc}
diff --git a/test/test.md b/test/test.md
index 7a9272f..ac6774e 100644
--- a/test/test.md
+++ b/test/test.md
@@ -41,20 +41,20 @@ Lwt and Eio fibers don't block each other:
     );;
 +eio: i = 1
 +  lwt: i = 1
-+  lwt: i = 2
 +eio: i = 2
-+  lwt: i = 3
++  lwt: i = 2
 +eio: i = 3
-+  lwt: i = 4
++  lwt: i = 3
 +eio: i = 4
-+  lwt: i = 5
++  lwt: i = 4
 +eio: i = 5
-+  lwt: i = 6
++  lwt: i = 5
 +eio: i = 6
-+  lwt: i = 7
++  lwt: i = 6
 +eio: i = 7
-+  lwt: i = 8
++  lwt: i = 7
 +eio: i = 8
++  lwt: i = 8
 - : unit = ()
 ```