Despite plying his trade in Ligue 2, the 18-year-old is being closely monitored by both clubs.
Spurs are looking for a future replacement for Mousa Dembele and Guendouzi is potentially of interest.
The defensive-midfielder was in Paris Saint-Germain's academy, but completed a switch to Lorient in 2014.
He is a France U20 international and after making eight appearances for the Ligue 2 club last season, he is now an established first team player.