diff --git a/doc/changes/10011.md b/doc/changes/10011.md
new file mode 100644
index 00000000000..45897c84d4f
--- /dev/null
+++ b/doc/changes/10011.md
@@ -0,0 +1,2 @@
+- Fix conditional source selection with `select` on `bigarray` in OCaml 5
+  (#10011, @moyodiallo)
diff --git a/src/dune_rules/lib.ml b/src/dune_rules/lib.ml
index cf5b4a77bf9..f7a709c8100 100644
--- a/src/dune_rules/lib.ml
+++ b/src/dune_rules/lib.ml
@@ -1154,10 +1154,10 @@ end = struct
 
   let available_internal db (name : Lib_name.t) =
     let open Memo.O in
-    resolve_dep db (Loc.none, name) ~private_deps:Allow_all
+    find_internal db name
     >>| function
-    | Some x -> Resolve.is_ok x
-    | None -> false
+    | Ignore | Found _ -> true
+    | Not_found | Invalid _ | Hidden _ -> false
   ;;
 
   let resolve_simple_deps db names ~private_deps : t list Resolve.Memo.t =
diff --git a/test/blackbox-tests/test-cases/bigarray.t/d/d.bigarray.ml b/test/blackbox-tests/test-cases/bigarray.t/d/d.bigarray.ml
new file mode 100644
index 00000000000..03207da789a
--- /dev/null
+++ b/test/blackbox-tests/test-cases/bigarray.t/d/d.bigarray.ml
@@ -0,0 +1,3 @@
+let _d = Bigarray.C_layout_typ
+
+let () = Printf.eprintf "Welcome to d WITH bigarray support\n%!"
diff --git a/test/blackbox-tests/test-cases/bigarray.t/d/d.dummy.ml b/test/blackbox-tests/test-cases/bigarray.t/d/d.dummy.ml
new file mode 100644
index 00000000000..8b75a54b878
--- /dev/null
+++ b/test/blackbox-tests/test-cases/bigarray.t/d/d.dummy.ml
@@ -0,0 +1 @@
+let () = Printf.eprintf "Welcome to d with nothing inferred\n%!"
diff --git a/test/blackbox-tests/test-cases/bigarray.t/d/d.nobigarray.ml b/test/blackbox-tests/test-cases/bigarray.t/d/d.nobigarray.ml
new file mode 100644
index 00000000000..6594153dc54
--- /dev/null
+++ b/test/blackbox-tests/test-cases/bigarray.t/d/d.nobigarray.ml
@@ -0,0 +1 @@
+let () = Printf.eprintf "Welcome to d WITHOUT bigarray support\n%!"
diff --git a/test/blackbox-tests/test-cases/bigarray.t/d/dune b/test/blackbox-tests/test-cases/bigarray.t/d/dune
new file mode 100644
index 00000000000..08e42d31700
--- /dev/null
+++ b/test/blackbox-tests/test-cases/bigarray.t/d/dune
@@ -0,0 +1,9 @@
+(executable
+ (name d)
+ (libraries
+  (select
+   d.ml
+   from
+   (bigarray -> d.bigarray.ml)
+   (!bigarray -> d.nobigarray.ml)
+   (-> d.dummy.ml))))
diff --git a/test/blackbox-tests/test-cases/bigarray.t/run.t b/test/blackbox-tests/test-cases/bigarray.t/run.t
index 59fa72d786a..19622d63af5 100644
--- a/test/blackbox-tests/test-cases/bigarray.t/run.t
+++ b/test/blackbox-tests/test-cases/bigarray.t/run.t
@@ -31,3 +31,6 @@ This test uses `(libraries (re_export bigarray))` similarly
 This test uses a `(select )` construct and should always select bigarray support
   $ dune exec c/c.exe
   Welcome to c WITH bigarray support
+This test uses a `(select )` construct and should always select bigarray supprot (the evaluation of `select` order differ from the previous test)
+  $ dune exec d/d.exe
+  Welcome to d WITH bigarray support