Both players have returned to training and could be fit to face reigning champions Manchester United on Saturday, though Billy Jones is likely to be sidelined until April
Benin international Sessegnon has overcome a groin problem, while midfielder Yacob is back in contention following a hamstring injury.
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"Stephane Sessegnon and Claudio Yacob are both in contention for Saturday's home date with Manchester United," read a statement on West Brom's official website.
"Sessegnon was left out of the last match against Fulham as a precaution after being sidelined for six weeks with a groin problem.
"Yacob also missed the 1-1 draw after suffering a hamstring problem against Chelsea, but both players will be involved in full training this week.
"Jones limped out of the Fulham game with a hamstring tear, an injury which usually sidelines a player for at least a month."
West Brom have still yet to win under Mel, who was appointed as the successor to Steve Clarke on January 9.