The Croatian defender is open to leaving the Reds before the end of the European transfer window, having fallen down the pecking order at Anfield.
Lovren, 30, finds himself behind Virgil van Dijk, Joe Gomez and Joel Matip in the battle for centre-back positions at the minute, and is understood to be keen on the idea of a move to Italy, where he would receive regular first-team football.
Roma are currently leading the race for the former Southampton man, and have opened talks with Liverpool over a potential deal. They could, however, face competition from Serie A rivals AC Milan.
Lovren joined Liverpool in a £20m ($24m) move back in 2014, and has since made 170 appearances for the Reds.
But a series of niggling injuries and illnesses have allowed both Gomez and Matip to move ahead of him in the fight to partner the brilliant Van Dijk.
Lovren played just 18 times last season, compared to Gomez’s 25 and Matip’s 31, and was not in the squad for Liverpool’s Premier League opener with Norwich last week.
He will also miss out on the Super Cup clash with Chelsea on Wednesday, with the player having not travelled with the rest of the squad to Turkey.
Liverpool are appreciative of Lovren’s desire for regular football, and have promised he will be allowed to leave providing the offer is suitable for the club. (NAN)