A woman in labor hailed a cab in Midtown last night to get her to the hospital — but her baby daughter was in an even bigger hurry.

“The woman kept shouting, ‘It’s coming! It’s coming!’ ” said the cabby, Ramdane Berghout.

“And then I didn’t even go one block and the baby came out!”

The wild ride began around 8:50 p.m., when the woman and the baby’s father got into Berghout’s taxi at East 34th and Park Avenue and asked to go to Roosevelt Hospital.

But by the time they inched past Madison Avenue, the baby had made her appearance.

“The husband yelled at me to ‘do something! Call 911!’ I didn’t know what to do, so I called 911,” said the 41-year-old driver, who gave his jacket to keep the newborn warm.

“I think the woman was in shock. She didn’t move, but just said, ‘The baby is out!’ ”

An ambulance took the baby and her mom to Bellevue Hospital, where both were doing fine. In the rush, the couple didn’t get a chance to pay the cabby. But that was fine with him.

“It was a gift for me to be able to be there and help,” he said. “That was my tip.”