The French league leaders, boosted by fresh capital from new Qatari owners, have been in contact with Suarez’s representatives with a view to bringing the Uruguay forward to the Parc des Princes at the end of the season.
Suarez, recently back after an eight-match suspension for racially abusing Manchester United’s Patrice Evra, would not be against a move if PSG won a Champions League berth next season, the sports daily said, without quoting sources.
Liverpool are currently seventh in the Premier League and on current form look set to miss out on a European place next year.
Any move would see Suarez link up with his Uruguay teammate and close friend Diego Lugano, who also captains the South American country.
Carlo Ancelotti’s PSG have previously tried but failed to bring in big name signings after chasing LA Galaxy’s David Beckham, AC Milan’s Alexandre Pato and Carlos Tevez of Manchester City.
Suarez is still feeling the heat despite his suspension after he refused to shake Evra’s hand when Liverpool met Manchester United last weekend, prompting fresh outrage from fans and players.