Slot is committed to renewing his contract with Feyenoord after recently leading them to the Eredivisie title in Holland.
The 44-year-old has been in charge of Feyenoord since December 2020 and also led them to the Europa Conference League final last season, losing to AS Roma.
Tottenham are looking for a new permanent manager after Antonio Conte and Cristian Stellini were sacked in quick succession barely two months ago.
Ryan Mason has been placed in interim charge for the rest of the season.
In a statement issued to Sky Sports News by his representatives on Thursday morning, Slot said: "I have been hearing a lot of rumours going around about other clubs' interest in me.
"Although I am thankful my wish is to stay at Feyenoord and continue working on what we created last year.
"There is not - and there has not - been transfer conversation and yesterday's meeting [with Feyenoord] was exclusively for an extension.
"All talks with the club have always been only in that sense. Looking forward to next season with Feyenoord."
Tottenham are currently eighth on the Premier League table.