Lennon, just 18 last week, will become the latest young prospect to go to Spurs if terms are agreed in the next few days.
He made his debut at 16 and became the youngest Premiership player when he came on as a sub against Spurs 20 months ago.
The Sunday People say that Lennon, who was voted Leeds' Young Player of the Year by the fans, will be sold and that the Whites will use the cash to sign three or four new players for a promotion push next season.
They add that there is also a chance that Lennon will go to White Hart Lane and then be loaned back to Leeds for a year.