Milan have been linked with a move for Lazio forward Sergej Jovic, with reports suggesting that the Serie A club are willing to sell Amrabat in order to fund the fee.
The Serbian international has enjoyed a good season in Rome, scoring 12 goals in 31 appearances in all competitions.
However, according to reports in the Italian press, Milan are also interested in signing Lazio midfielder Felipe Anderson, with the Brazilian being heavily linked with a move to the San Siro.
While Jovic may be more likely to leave Lazio in the near future, Amrabat is likely to remain at the club.
The Egyptian has enjoyed a good season in Rome, scoring seven goals in 31 appearances in all competitions.
However, with Milan already having a number of midfielders including Lucas Biglia, Antonio Nocerino, and Hakan Calhanoglu, the arrival of Amrabat may not be the best move for the Rossoneri.