The French newspaper reports that Atletico Madrid, Paris Saint Germain and AS Monaco, as well as Arsenal, are tracking the talented shot-stopper.
Under contract at White Hart Lane until the summer of 2016, Lloris has publicly stated that he is happy at Spurs amid rumours of a move to Arsenal.
He's good friends with French teammates Laurent Koscielny and Olivier Giroud, but insisted earlier this year that he "has too much respect for Tottenham fans" to speak about joining their bitter north London rivals.
But the report speculates that Arsene Wenger is interested in the keeper, and it could get interesting if Spurs fail to qualify for the Champions League next season.
Lloris is certainly good enough to play in Europe's elite club competition, but Tottenham face a tough battle to secure a top four spot in the Premier League this term.
Should they fail to make it, transfer rumours regarding their best players would only intensify.
Monaco and Paris Saint Germain would be able to offer the French number one a big pay-day and route back into Ligue 1 football, while Atletico Madrid are looking for a long-term replacement to on-loan keeper Thibaut Courtois.
The Belgian international will report back to Chelsea at the end of the season.