The World Cup-winning Frenchman is due to see his deal expire at the end of next season, and there has been a host of speculation surrounding his Lilywhites future.
A reunion with Mauricio Pochettino at Paris Saint-Germain has been mooted for Lloris, and he has also been linked with a move to Manchester United amid uncertainty surrounding David de Gea's next career move.
However, Football Insider claims that the 34-year-old is set to put pen to paper on a new deal with Tottenham after positive talks with chairman Daniel Levy.
The report adds that Lloris is willing to commit his future to Spurs for at least another decade, meaning that he could finish his career in North London.
The former Lyon man has kept 12 clean sheets in 36 Premier League appearances this term, and he has played 371 games in a Tottenham shirt since his arrival in 2012.