Amir Khan wants to take Timothy Bradley's WBC and WBO light-welterweight belts after defeating Paul McCloskey on Saturday.
Khan retained his WBA title following a controversial points win over McCloskey in Manchester and immediately set his sights on a lucrative Bradley fight.
American Bradley added the WBC belt after a technical-decision win over Devon Alexander in Detroit in January.
"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 [De La Hoya, Golden Boy Promotion's head] is going to go back to America and see what we can do for the unification fight.
"Bradley is a good fighter but that's just going to push me and motivate me. These big fights in the future only make you a better fighter.
"Oscar will tell you, these big fights are always going to push you. When I go back to LA for my training camp, knowing it is Bradley I'm fighting is going to push me even more.
"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 a unification fight would appeal to pay-per-view cable channel HBO, which has invested heavily in the light-welterweight division.
However, the US would remain the most likely destination for the big-money fight with De la Hoya's Golden Boy Promotions leading the negotiations.
Khan's fourth successful defence of his WBA title was marred by controversy when referee Luis Pabon stopped the fight after McCloskey suffered a cut to his eye following an accidental clash of heads in the sixth round.
The decision enraged Northern Irishman McCloskey's promoter Barry Hearn, who demanded a rematch.
But Khan dismissed Hearn's protests, outlining his superior scoring record in every round.
"There is no point giving him a rematch. Why should I? I've got bigger things to do," said Khan, who extended his winning record to 25-1.
"That was 'finished business'. I won every round. It was one-sided."