The 18-year-old winger made his breakthrough into the Whites first team this season and has made 19 appearances for United.
Tottenham boss Martin Jol and sporting director Frank Arnesen seem to have a policy of bringing in young, British talent since taking over at White Hart Lane and Lennon could join Derby's Tom Huddlestone who is already due to arrive at the club this summer.
According to The Sun, Jol is considering making a £1.4m bid for Lennon.
Lennon commented: "It is flattering being linked with a Premiership club. I suppose I must be doing quite well for Spurs to have watched me."
Kevin Blackwell has admitted he may have to sell his best youngsters, with Everton and Sunderland also poised to make moves.
Along with Lennon with Spurs, Simon Walton and Frazer Richardson have been linked with Everton and Sunderland respectively.
Leeds may be tempted to cash in to enable to bring in more experienced players. "You either stay in a low league position while the youngsters are learning, or go for the top, and if that's the case you might have to sacrifice one or two of them," Blackwell told Leeds' official website.
"Ideally you want to bring your own youngsters into the team, but right now our priority is getting back into the Premiership."