Livermore, 24, was a key player for the Tigers in their first season back in the Barclays Premier League and was manager Steve Bruce's top transfer target this summer.
His form had alerted other top-flight clubs but his effective partnership with former Spurs team-mate Tom Huddlestone is likely to count in Hull's favour as they try and tie up the contract details.
A message on the club's official Twitter feed read: "Hull City can confirm that an undisclosed fee has been agreed with @SpursOfficial for the permanent transfer of Jake Livermore.
"Personal terms are being discussed and we hope to conclude the deal early next week."
Source : PA
Source: PA