Spurs have held unsuccessful talks with several managers, including Antonio Conte, Julen Lopetegui and Paulo Fonseca, as they look to permanently replace Jose Mourinho.
The Mail claim Nuno, who left Wolves at the end of last season, has the backing of Tottenham chairman Daniel Levy and new managing director Fabio Paratici.
The report adds Brighton boss Graham Potter was another contender for the Tottenham job, but Nuno's name is the one 'being discussed most prominently'.
Nuno led Wolves to the Premier League in 2017 and went on to achieve back-to-back top-flight seventh-placed finishes.
The Portuguese coach endured his most difficult time in charge in his final season as Wolves ended the 2020/21 campaign in 13th place.
However, Nuno lost Diogo Jota to Liverpool and played most of the season without his talisman Raul Jimenez, who suffered a fractured skull last November.
The news that Nuno looks set to be Mourinho's successor has not gone down well with a section of Tottenham fans.
The hashtag 'NoToNuno' was trending on Twitter on Thursday evening with Spurs supporters unhappy with the potential appointment.
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