The La Liga giants are believed to be shopping for a long-term replacement for Iker Casillas ahead of next summer, and have been heavily linked with Manchester United’s David de Gea.
But rumours suggest that the club aren’t completely confident of luring the former Atletico Madrid man to the Bernabeu, which has caused them to switch their sights towards other targets.
Lloris is another name in the mix, with the Spurs goalie having impressed at White Hart Lane.
Even though Tottenham have, largely, disappointed over the course of the past season and a bit, the Les Bleus star has been a consistent performer, and has established a reputation as one of the best glovesmen in European football.
Real are reportedly keen on him, with replacing 33-year-old club captain Casillas a pressing concern given his dramatic decline in form.
The European champions have a business relationship with Spurs, which has facilitated moves for Luka Modric and, most notably, Gareth Bale in recent transfer windows.