Spurs will announce the deal on Tuesday after reaching an agreement with the former Chelsea and Inter Milan boss.
The Italian disciplinarian has agreed terms on an 18-month contract after being convinced by Spurs chiefs Daniel Levy and Fabio Paratici.
talkSPORT understands Conte has been promised a substantial transfer kitty to persuade him to accept a job he turned down in the summer.
Meanwhile, the Spurs players are thought to be excited by the appointment of the Premier League title-winning boss.
Conte was linked with the post earlier this year, however, a deal to bring the fiery 52-year-old to north London collapsed at the 11th hour.
Just four months after being appointed, the decision was taken to end the Nuno's tenure following a poor run of results.
He got off to a flyer with a maximum nine points from the opening three Premier League matches of the season, putting Spurs top of the table going into the September international break.
However, their form has plummeted since with five defeats in their last seven league outings.
Spurs' 3-0 humbling at home to Manchester United saw fans at the Tottenham Hotspur Stadium boo Nuno's decision to substitute Lucas Moura and chant 'you don't know what you're doing'.
There were also chants of 'Levy out' during the match as supporters turned on the chairman, Daniel Levy, as well as striker Harry Kane, too.
Paratici, managing director of football, said: "I know how much Nuno and his coaching staff wanted to succeed and I regret that we have had to take this decision.
"Nuno is a true gentleman and will always be welcome here. We should like to thank him and his coaching staff and wish them well for the future."
The north London outfit only appointed Nuno as successor to his fellow Portuguese Jose Mourinho on June 30.
Tottenham's 17 games in all competitions since have featured seven defeats, and the losses to West Ham and Manchester United in their last two Premier League matches have seen them go two hours and 16 minutes without having a shot on target.