For the second time this month, President Obama will enlist the previous Democratic occupant of the White House in his push to publicize the benefits of his landmark health care law.

On Tuesday in New York, Obama will attend the Clinton Global Initiative hosted by former president Bill Clinton, where the two will engage in "a conversation about the benefits and future of health care reform in America and access to quality health care around the globe," White House press secretary Jay Carney said.

Obama will be in New York on Monday and Tuesday for the U.N. General Assembly meetings, and he'll stop by the Clinton event as he has done in past years. Their discussion will come a week before the Oct. 1 opening of the enrollment period for uninsured Americans to sign up for health insurance under the Affordable Care Act.

The Obama administration is eager to get millions of people to sign up for the president's signature legislative achievement and defy Republican predictions that the new law will lead to chaos and higher insurance prices. Some GOP members of Congress are pushing to defund so-called Obamacare during the fight over the budget and debt ceiling.

Clinton gave a speech on the new law in Arkansas earlier this month. The enrollment period for the mandatory insurance lasts through March.

Carney said that the dialogue next week "is part of a ramped-up public education effort to reach Americans."