UnityContainer and internal constructor

I have a class with internal constructor and want to Resolve it from Unity (2.0).

public class MyClass {
    internal MyClass(IService service) {
    }
}

then I'm doing

_container.Resolve<MyClass>();

when I do so I have an exception

Exception is: InvalidOperationException - The type MyClass cannot be constructed. 

IService is registered and the only problem is that constructor is internal. I really want this class to be public, but I want it to be creatable only via a factory (in which I'm actually calling container.Resolve<MyClass>()).

Is there a way to make Unity see that internal constructor? Like InternalsVisibleTo or something?