Rashford, 27, joined the La Liga champions on an initial loan with an option to buy for £30 million from boyhood club Man United earlier in the summer.
Due to the club’s ongoing financial issues, they are yet to register the England international for the upcoming La Liga season.
Speaking in an interview with Mundo Deportivo, Laporta has admitted it’s unlikely there will be any more signings.
“In principle, there will be no more signings.” He said. “We have a squad and the coach wants to make additions to the first team dynamic with players from Barca Atletic (the reserve team), but additions are not expected at the moment.
“We will try to avoid any painful exit. I’m not going to specify players because they are all Barca players and we are all delighted with them, but there will be certain adjustments, because there are too many players in some positions, replicated, and something will have to be done. This is already at the discretion of the coach and Deco.”