The Turin outfit have agreed the temporary signing of the Italian striker, who has struggled for regular football since the summer and the arrival of Pablo Osvaldo
Sky Sports 24 claims the Bianconeri have completed the temporary switch for Borriello, who has struggled for first-team football since Luis Enrique took over at Roma.
The club are believed to have paid between €500,000 and €1 million for the transfer and have the option to make the deal permanent for another €7.5m.
The 29-year-old began his career at Milan and has represented Genoa, Sampdoria and Treviso amongst other Italian clubs.
He netted 11 times in Serie A during his first season at Roma in 2010-11, but has played second-fiddle to Pablo Osvaldo since the Argentine-born forward arrived at the Stadio Olimpico in the summer.