USA international winger Rogers, a recent signing following his release from Major League Soccer side Columbus Crew, has had to wait for his first appearance due to delays over paperwork, while Tottenham defender Smith, a deadline day loan signing, is also in contention.
Redfearn, installed as temporary boss after Simon Grayson was sacked on Wednesday, has no new injury or suspension worries, but may want to add some experience to his back four following the heavy midweek home defeat to Birmingham.
Left-sided defender/midfielder Danny Pugh and centre-half Alex Bruce, both unused substitutes on Tuesday night, could be recalled to the starting line-up.
Paddy Kisnorbo remains sidelined with a season-ending knee injury, while Andy O’Brien has only this week returned to training following a bout of depression.
Jordan Hugill says he is desperate to prove he is ready to play a bigger part in West Ham's battle against relegation.
Harry Maguire says he's discovered his best form at Leicester this season as he seeks to cement his spot in England's World Cup squad.