The reigning Ligue 1 champions, who finished 31 points clear of second-placed Lyon, have kept tabs on the Brazilian playmaker but have yet to follow up their interest with any official bid.
It is understood that PSG officials have contacted Coutinho's representatives to let them know of their interest, although Liverpool are keen to ensure they don't lose yet another star player in a summer transfer window.
With the player's long-term contract on Merseyside running until 2020, Coutinho is yet to tell the club of any indication to leave.
"As far as I know, there's no offer," he said, adding: "I'm here with the national team, this subject is for my representatives."
Coutinho declared that it is "more important" for him to be "focused on the national team" and "having a good tournament" as he explained: "That's where my head is."
Recent reports suggested a first offer of around £23 million had been tabled and swiftly rejected, with Barcelona also interested in Coutinho, although the French giants are reportedly willing to bid as high as £45 million.
The 23-year-old is currently in United States playing for his country at the Copa America, where he scored a hat-trick in a 7-1 win over Haiti in Orlando on Wednesday night.
International teammates Filipe Luis and Dani Alves have both encouraged Coutinho to consider his future, the latter insisting: "Liverpool have history but you should consider playing for top Champions League sides. He has the quality to play for Barcelona."
Liverpool likely to be fending away bids for Coutinho throughout the summer
The Reds' No.10, nicknamed 'The Little Magician' by his teammates for his flair and creativity, scored 12 goals and registered seven assists in a career-best campaign last season and it is no surprise that he has attracted interest from major European clubs.
But the Reds have lost the likes of Luis Suarez, Raheem Sterling and even Steven Gerrard in recent years are unwilling to let go of a key player once again, particularly given that this summer is the first that Jürgen Klopp will have to shape a side in his image at Anfield.
Therefore Coutinho, who dominated the club's end-of-season awards as he scooped four accolades including Player of the Year and Goal of the Season, is integral to the German's plans having established himself as one to be counted on when needed last term.
He scored a number of important goals in important matches, including strikes against Manchester United and Borussia Dortmund along their run to the Europa League final as well as strikes against Tottenham Hotspur and Everton in the Premier League.
Fans' favourite Coutinho even scored Liverpool's equaliser in the Capital One Cup final back in February, although they lost out on penalties to Manchester City.
With his hat-trick for Brazil taking his international record up to four goals in 16 caps, the midfielder is also beginning to establish himself on the international stage and his national team coach Dunga said as such after the Haiti game.
"He's been acquiring more trust and belief in himself and taking more risks. That's what we wanted," he said, explaining that they have been "encouraging" him during training to "be the player he is in Liverpool."