Is it possible to have strongly typed parameter constraints in a constructor of a generic class?

I would like to define a generic class in C#:

public class MyService<TModel>
{
    public MyService(/*What to declare here?*/)
    {
    }
}

such that I can instantiate it like the following:

var service = new MyService<SomeModel>(m => m.SomeField);

where SomeField is restricted to be a field of SomeModel. Is this possible?

I know I can declare something similar for a method within the class but can't quite figure out how this can be done for constructors. For example, I can declare the following in MyService:

    public void SomeMethod<TMember>(Expression<Func<TModel, TMember>> member)
    {
    }

and be able to invoke it like this:

var service = new MyService<SomeModel>();
service.SomeMethod(m => m.SomeField);

and the compiler would complain if SomeField wasn't actually a field of SomeModel.