Bolton fighter Khan revealed De La Hoya was planning to start negotiations in the wake of his controversial sixth-round stoppage of Paul McCloskey in Manchester on Saturday.
American superstar Bradley is the WBC and WBO light-welterweight champion, while Khan will be putting his WBA belt on the line in what will be a lucrative showdown.
"There are levels in boxing and Bradley is the same level as me," said Khan.
"We're in the world-class level.
"My promotional team looks after all that, so Oscar is going to go back to America and see what we can do for the unification fight."
Khan added: "I'm happy to see what happens with the next fight. We've talked of unification fights and that's my ambition and I'm going to leave it to Golden Boy. I'm sure in the next couple of days we'll find out out what the score is."
Bradley is unbeaten in 27 professional bouts and added the WBC belt to his titles when he secured a technical-decision win over Devon Alexander in Detroit in January.