Rangers are to appeal against Hill's sending-off during the 4-0 win against Swansea and the hearing will not take place until Thursday, meaning he is free to face the Sky Blues.
The left-back will begin a three-match ban against Norwich on New Year's Day if the decision is upheld.
Boss Neil Warnock has no new injury concerns and will once again choose between Rob Hulse and Heidar Helguson to lead the line, with the latter in pole position after his goal from the penalty spot against the Swans.
Defender Peter Ramage and midfielders Lee Cook and Akos Buzsaky are still missing with knee injuries.
Source: PA
Source: PA