Borini has starred for Italy at the U21 Euros this month.
Marco de Marchi told TMW: "Fabio is making his path, he plays for a great team even though he was out seven months with injury. However, he managed to prepare well for the European Championship with Italy, it is unlikely he'll return to Serie A.
"Borini wants to establish himself at Anfield. I advised him to stay with Liverpool and do well in the Premier League."