By ERIN DOOLEY and LIZ KREUTZ

If Chelsea Clinton goes into labor, her dad has nothing to worry about: President Obama has got her covered.

Obama jokingly offered up his motorcade to the pregnant former first daughter at a Clinton Global Initiative event in New York City today.

"I was just discussing with President Clinton that if Chelsea begins delivery while I'm speaking, she has my motorcade and will be able to navigate traffic," he said with a smirk. "I don't know what the problem is. Everybody hypes the traffic, but I haven't noticed."

Earlier in the day the president made remarks at a climate summit at the U.N. General Assembly. The annual meeting creates notoriously bad street closures and traffic jams across New York City as whole sections of Manhattan become police enforced "frozen zones" to protect national leaders as move around the city.

Chelsea Clinton, who announced her pregnancy in April, is apparently due any day now. President Clinton told CNN Sunday he hopes to be a grandfather "by the first of October."

"I don't know" the gender of the baby, Clinton said. "My daughter and son-in-law decided not to know. They want to be surprised. So we're all just sitting around waiting."