Grady7777Probably not that well, considering how low power the Little Dot amps are. They're more to give Grados and other very low power headphones a little boost, at least until you get to the $500+ models. You could always try, but the power this dude outputs is a little over 30% of what you'd get out of a smart phone. Obviously not terrible, but you could get a much better pre-amp from a company like Schitt for a lower price- made in the USA too.
Edit: I realized that I should add, that it might be a little more powerful if you spring for better tubes, but it's still probably not worth it.