Benin international Sessegnon has been sidelined since January 20 with a groin problem while Argentine Yacob has been out since February 11 with a hamstring injury.
However, a statement on Albion's official website suggests the pair could return for the visit of the reigning champions this weekend.
"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."
West Brom sits 17th on the Premier League table on 25 points, just one ahead of third-bottom Sunderland.
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