Meekness versus Humility

I have been thinking more about the difference between meekness and humility, especially on the commenter formerly known as Brackets’ comment, and I realized something:

Jesus explicitly calls himself meek, but he never calls himself humble.

With no basis other than  my own gut, I think ‘meek’ is something like ‘not asserting every claim to which your power or status or simple justice entitle you,’ whereas ‘humility’ is something like ‘not too big for your britches’