Outfielder Brett Gardner also remained out with an ankle injury for Monday night's makeup game in Kansas City.
Teixeira says he felt some soreness in the hamstring Friday night against the White Sox but played through it over the weekend. He hopes to be back in the lineup Tuesday night in Detroit.
Gardner also is hopeful that his right ankle will allow him to play Tuesday.
In other injury news, Yankees manager Joe Girardi says right-hander Masahiro Tanaka will throw again Thursday as he rehabs from a partial tear of the ulnar collateral ligament. Tanaka is planning to throw about 45 pitches in a simulated game.