Haskins out-pointed Darlington's Stuart Hall to win the vacant EBU bantamweight crown in the Hand Arena in Clevedon on Saturday.
The 29-year-old, who has previously fought in the flyweight and super-flyweight divisions, is now looking to step up for a tilt at the world title.
He told the Bristol Evening Post: "I've waited a long time for the chance to become European champion and, now I'm there, I'd like to defend it in Bristol.
"But what I really want is a shot at the world title and I'm hoping this win opens doors for me.
"Jamie McDonnell (the former European bantamweight champion from Doncaster) is going to box for a version of the world title and I have already beaten him.
"I've cleaned up in the flyweight division and the super-flyweights and now I want to do the same as a bantamweight.
"If McDonnell loses his world title fight, then I'd happily defend the European against him. I would imagine the winner would then go on and box for a world title."
Haskins won on an unanimous decision, ahead 118-111, 117-111, 118-110 on the judges' scorecards.
He added: "The plan was to let him come to me and catch him on his way in. I took a couple of good shots, but he never really troubled me and the plan worked to perfection."