The Baggies needed a penalty shootout against League Two side Oxford United in the previous round of this competition to secure their place in round three.
The manager has indicated that Youssouf Mulumbu could come into the starting lineup having returned from injury in the trip to White Hart Lane.
Meanwhile, Hull are heading into the match without a win in their last four outings in the Premier League, with the only victory from their last six matches coming in the Europa League.
The Tigers, who reached the final of the FA Cup last season, let a two-goal lead slip at the weekend in their match against Newcastle United at St James' Park
This will be the first time that these two clubs have met in the League Cup.
West Brom: DDWLLW
Possible starting lineups
West Brom: Foster, Wisdom, Lescott, Pocognoli, Dawson, Dorrans, Brunt, Mulumbu, Sessegnon, Berahino, Anichebe
Hull: McGregor, Chester, Elmohamady, Dawson, Davies, Huddlestone, Meyler, Livermore, Quinn, Aluko, Jelavic
Sports Mole says: 2-1