Spurs have been quoted a €60m (£55m) fee for Skriniar, 25, an ever-present in the Inter side for ther past three seasons.
Jose Mourinho wants to improve his defence having not been fully convinced by Eric Dier, Toby Alderweireld and Davinson Sanchez.
The North London club are unwilling to pay Inter’s €60m asking price, but will attempt to negotiate a discount.
Before making an official bid for Skriniar, Spurs want to move several players on to raise funds.
Spurs have already brought in Gareth Bale, Sergio Reguilon, Pierre-Emile Hojbjerg and Matt Doherty this summer.
Signing Skriniar would be the icing on the cake of a good summer of business for Spurs.