Town are now the only one of the 92 Football League sides without a win after a 1-1 draw at home to Swansea on Saturday - where on-loan Portsmouth keeper Begovic made his debut.
Regular custodian Richard Wright was left out of the squad altogether at the weekend but is fit and will be hoping to at least make the bench.
Striker Pablo Counago scored against Swansea but may be rested for former Watford striker Tamas Priskin while centre-half Alex Bruce may return to the starting line-up after a groin problem.
Winger Carlos Edwards, who was left out against the Swans after playing last midweek for Trinidad and Tobago, will also be ready for a return.
But trio Ben Thatcher, Luciano Civelli and David Norris all remain sidelined with knee injuries.