Maddison is expected to leave Leicester this summer after they got relegated from the Premier League last season.
Newcastle have long been interested in him and Eddie Howe still likes the player but the club have other priorities in the market and do not want to match Leicester’s asking price for the midfielder.
Tottenham have the decisive lead in the pursuit of Maddison and have already worked out personal terms on a contract.
Spurs are now in talks with Leicester and it has been claimed that Levy is driving their charge for the England star.
The Spurs chairman wants to have a new signing in place before Ange Postecoglou officially takes charge of the team next month.
Leicester want somewhere around £60m from Maddison’s sale but Spurs are offering £40m plus add-ons.
Despite the difference between the valuations, a deal is expected to be agreed upon between the two clubs.
Unless there is a twist, Maddison is expected to wear Tottenham colours in the Premier League next season.