Friday's last-four draw in Nyon, Switzerland, pitted the Reds against the Italian club.
The first leg of the tie will be played at Anfield on Tuesday April 24, with the second match taking place at Stadio Olimpico on Wednesday May 2.
Bayern Munich will take on Real Madrid in the other semi-final, with the winners of the ties to meet in the final in Kiev on Saturday May 26.
Click here to view an updated fixture list.