Suarez cost Liverpool £22m from Ajax in January 2011 and has scored 12 goals in 32 games this season for the Reds.
However, there is concern that the Uruguayan forward is being forced out of the Premier League by unfair refereeing, made worse by his 8-game ban for racially abusing Man Utd's Patrice Evra.
According to Corriere Dello Sport, Roma and Juventus have both been in contact with Liverpool about a summer transfer and are lining up bids of around £25m for the 25-year-old.