diff --git a/test/blackbox-tests/test-cases/no-name-field/public-name-invalid-wrapped-false/dune b/test/blackbox-tests/test-cases/no-name-field/public-name-invalid-wrapped-false/dune
new file mode 100644
index 00000000..9bc81433
--- /dev/null
+++ b/test/blackbox-tests/test-cases/no-name-field/public-name-invalid-wrapped-false/dune
@@ -0,0 +1,3 @@
+(library
+ (wrapped false)
+ (public_name foo.bar))
\ No newline at end of file
diff --git a/test/blackbox-tests/test-cases/no-name-field/public-name-invalid-wrapped-false/foo.ml b/test/blackbox-tests/test-cases/no-name-field/public-name-invalid-wrapped-false/foo.ml
new file mode 100644
index 00000000..e69de29b
diff --git a/test/blackbox-tests/test-cases/no-name-field/public-name-invalid-wrapped-false/foo.opam b/test/blackbox-tests/test-cases/no-name-field/public-name-invalid-wrapped-false/foo.opam
new file mode 100644
index 00000000..e69de29b
diff --git a/test/blackbox-tests/test-cases/no-name-field/run.t b/test/blackbox-tests/test-cases/no-name-field/run.t
index 563dbccd..a25f890b 100644
--- a/test/blackbox-tests/test-cases/no-name-field/run.t
+++ b/test/blackbox-tests/test-cases/no-name-field/run.t
@@ -26,3 +26,14 @@ there's only a public name but it's invalid as a name
   Hint: library names must be non-empty and composed only of the following characters: 'A'..'Z',  'a'..'z', '_'  or '0'..'9'.
   Public library names don't have this restriction. You can either change this public name to be a valid library name or add a "name" field with a valid library name.
   [1]
+
+there's only a public name which is invalid, but sine the library is unwrapped,
+it's just a warning
+
+  $ dune build --root public-name-invalid-wrapped-false
+  Info: creating file dune-project with this contents: (lang dune 1.1)
+  File "dune", line 3, characters 14-21:
+  Error: invalid library name.
+  Hint: library names must be non-empty and composed only of the following characters: 'A'..'Z',  'a'..'z', '_'  or '0'..'9'.
+  Public library names don't have this restriction. You can either change this public name to be a valid library name or add a "name" field with a valid library name.
+  [1]