Vicente could make his Albion comeback in the FA Cup against Newcastle.
The Spanish playmaker steps up training this weekend and may be on the bench for the Toon's third round visit to The Amex on Saturday week.
Boss Gus Poyet revealed to The Argus: "On Saturday he starts training with the reserves, proper football.
"Can we force him to be ready in two or three weeks? I don't know, that will depend on the personell and how he feels.
"Maybe we will give him 15 or 20 minutes against Newcastle, who knows."
A thigh problem has sidelined Vicente from Championship action for Albion since a brief substitute appearance in the first home game of the season against Cardiff back in August.
Poyet added: "The idea is that he starts feeling like a football player again, which is the most important part. It is another of the signings of the January transfer window. We've got Vicente from Valencia!"