Montero suffered a muscle strain against Mexico during the international break and the injury is not as serious as first feared, but on-loan Spurs midfielder Tom Carroll is definitely out after damaging ankle ligaments on England Under-21 duty and might not play again this season.
Midfielder Leon Britton and defender Kyle Bartley are both back in training after being absent in recent weeks and have been added to the Swansea squad.
Mohamed Diame and James Chester, meanwhile, will make their long-awaited returns to the Hull squad.
Gaston Ramirez is also fit to play despite concerns about an injury picked up on international duty.
Tom Huddlestone is suspended while Nikica Jelavic and Robert Snodgrass (both knee) remain sidelined.