BBC Sport reports that Tottenham are closing in on the appointment of Nuno.
Spurs new sporting director Fabio Paratici has flown into England to complete talks with the Portuguese manager.
An appointment is reportedly imminent.
Tottenham have been without a permanent manager since April when Jose Mourinho was sacked.
Mourinho was dismissed from his role as the Spurs head coach just a few days before the Carabao Cup final against Premier League rivals Manchester City.
Former Tottenham midfielder Ryan Mason was given the managerial reigns until the end of the season.
Nuno parted company with Wolves at the end of last season.
The 47-year-old Portuguese manager was appointed as the Wanderers manager in the summer of 2017.
Nuno guided Wolves to promotion from the Championship to the Premier League and then led the team to the Europa League.