But the 18-year-old is said to favour a move to Arsenal.
Hassaini was contracted to AS Nancy last season but is now on the hunt for a new club this summer.
Manchester City previously expressed an interest in the youngster, while Crystal Palace are said to be keen.
But it looks like Liverpool and Arsenal are leading the race for his signature.
Foot Mercato claim Jurgen Klopp’s side are firmly in the hunt to land Hassaini in the coming weeks.
However, the winger is waiting for a concrete offer from Arsenal.
The Gunners are yet to formally approach the youngster with a contract proposal.
But should Unai Emery attempt to land Hassaini in the coming weeks, it looks clear the Spaniard will beat Liverpool to a move for the highly-rated Frenchman.
Arsenal are desperately trying to improve their squad this summer, while Liverpool are taking a more relaxed approach to the window.
But Emery has limited funds to spend in the transfer market.
However, speaking ahead of the win over Bayern Munich this week, the Arsenal boss said more deals were in the works.
“We are working, the club is working with the possibility to sign some new players to help us,” he said.
“We are doing a lot of meetings with the club, with (technical director) Edu, with Raul (Sanllehi, head of football) and also with Josh and Stan Kroenke on Monday in Denver.
“We have a clear idea to sign players to help us with quality and in the positions we need.
“We are taking with the patience and with the calm because we really want to sign players who can help us with a big performance and also because we think in the team we have very good players and young players and we also need to take the best player in some positions.
“Really, I can say to our supporters that we are going to have a very good team with the players that are there now and also with three or four players who can help us in a few days.
“Other players can come here to help us. We need, really, that they will come with a big performance and also our target is to achieve three or four players who really improve our team and our squad now.
“We are being very, very demanding and we are first speaking about the possibility to sign very big, very expensive players and the first player in our list is our first target. And after, if we cannot achieve that, then the second. But we are thinking every time that they are going to improve our squad.”