Real's defensive pair Dani Carvajal and Eder Militao are both out for the rest of the season with knee injuries.
As such, AS says Real plan to bring in a new centre-back in January.
The hunt for Laporte - who has been on their radar for a long time - is now intensifying.
Real will push for the Spain international to break his contract with Al Nassr. Real believe there's a good chance of signing Laporte on a free transfer in January.