The 24-year-old held a press conference on Monday, one day after lifting the FIFA Confederations Cup with his country, to confirm he is leaving the Sao Paulo club.
Corinthians also said in a statement on their website that Spurs are set to pay €20 million (£17m) to release the player from his current deal.
"It's hard to say anything at a moment like this, but I am sure those were three wonderful years in my career, with many titles and working with the right people, who always helped me," Paulinho told reporters.
"What I have to say to Corinthians is 'see you soon'. Pretty soon I'll be back, owing to everything you have done for me."
The statement from Corinthians thanked Paulinho for his contribution to the team, with the midfielder helping them win the Brazilian championship in 2011 and both the Copa Libertadores and the FIFA Club World Cup last year.
He scored 34 goals in 167 appearances for the club and was also instrumental in Brazil's 3-0 victory over Spain yesterday in the final of the FIFA Confederations Cup.
Spurs were unwilling to comment when contacted by Press Association Sport this evening.