Striker Simpson has overcome a chest infection that forced him to miss last weekend's win over Ipswich, while defender McShane could be available again after a four-game absence due to a hamstring injury.
Manager Nigel Pearson is hoping Daniel Ayala, on loan from Liverpool, can prove his fitness in time following a hamstring strain, but Hull are still without long-term absentees Caleb Folan, Craig Fagan and Jimmy Bullard.
The Tigers secured back-to-back league wins for the first time this season after successes against Preston and Ipswich and have taken seven points from a possible nine in their bid to climb away from the bottom three.
Source: PA
Source: PA