The 21-year-old joined Bournemouth from Leeds United in 2016 for a fee of £7 million and quickly established himself as a key player for the club.
He made 35 Premier League appearances last season, and caught the attention of Spurs boss Pochettino.
Spurs are yet to sign a single player in the summer transfer window, but the report claims that Pochettino is set to test Bournemouth’s resolve with a tempting £30 million bid for the promising midfielder.
Cook, who reportedly pockets around £30k-per-week at Bournemouth, captained England to Under-20 World Cup glory last summer and he would be a fantastic signing for Spurs – a player that fits their transfer strategy.
He has a contract at the club till the summer of 2020 and the Cherries are keen to tie him down to a new deal.
The Daily Star adds that Liverpool manager Jurgen Klopp is also a big admirer of the player, but with the Reds having bolstered their midfield department already, it is hard to see them making a move for Cook this summer.