The Blaugrana boss has been recovering from a return of his throat cancer since December, but is now close to making his way back to the bench at Camp Nou.
Jordi Roura has been in charge during Vilanova's absence and critics have suggested that a recent run of indecisive form was due to instability off the field.
Barca were, however, back to their imperious best against AC Milan in the UEFA Champions League on Tuesday and will be looking to maintain that momentum over the coming weeks.
"Tito will return on 25th March," Rexach told TV3.
While Vilanova's imminent return is to be welcomed in Catalunya, Barca have been dealt a blow by the news that midfield playmaker Xavi will sit out their clash with Rayo Vallecano on Sunday with a hamstring injury picked up against Milan.
"Further tests confirmed that the player has strained his muscle and therefore will miss the match on Sunday at the Camp Nou," read a statement released on the club's official website.
Xavi has already been laid low with a similar ailment this season, but he is expected to be back in action by the time Spain take in a World Cup qualifying double-header with Finland and France.