Borini, who has made 16 appearances for the Reds this season, dislocated his shoulder after a collision with Swansea City’s Kyle Bartley after only eight minutes on the pitch.
Speaking to Tuttomercatoweb.com, De Marchi said: “It’s been an unlucky season, before it was a foot injury which he was recovering from.
“He started to play with the Under-21s against Germany in early February, where he scored a goal, but now this is a new and sad episode of his career.
“He’s already had an injury of this type in the other shoulder, so this time we know how to move. The doctors will determine if he should need surgery.
“If this is the case, the recovery time will be longer, and his season with Liverpool will almost certainly be complete. We hope the boy is able to recover at least in time for the European Championships with the national team.
“Is his future still with Liverpool? Undoubtedly, Fabio has a long-term contract with one of the most glorious teams in world football.
“From now on he will think only about working hard to get back as soon as possible to the field.”