The Premier League pair have been tracking the 24-year-old since the end of the season and are now poised to make their moves.
The Frenchman is keen to leave the Ligue 1 side this summer and he has already been approached by Nice, Marseille and Saint-Etienne.
However, according to L’Equipe, Everton and Swansea are the favourites to snap up Dabo and they will go toe-to-toe for him.
The defensive midfielder has experience of playing in England after spending six months on loan at Blackburn Rovers in 2014.
He is expected to make a decision before the end of June as he decides whether to stay in France or move abroad.