Mike Groll / AP New York Gov. Andrew Cuomo delivers his third State of the State address at the Empire State Plaza Convention Center on Wednesday, Jan. 9, 2013, in Albany, N.Y.

Gov. Andrew Cuomo told reporters today that New York won’t change its state health insurance exchange rules to let people keep insurance plans canceled as a result of the implementation of Obamacare. “We haven’t had the kinds of issues in New York in our exchange that they’ve had nationwide,” Cuomo said.

Last week, President Obama said he supported letting Americans whose plans had been canceled keep them for another year. But the decision to do so in many cases rests with states and the insurance companies issuing the policies, not the federal government. “Our program has actually been working well, the website has been working well, and we’ve had actually very good success with our program so we don’t see any reason to change it now because we’re not having those types of issues,” Cuomo said.

Cuomo said he would look at changing the rules if there were widespread problems. A state insurance official tells TIME that there is little incentive to make Obama’s fix in New York State with few problems on the website and the complexity involved in changing rates that were set back in July.