Jennifer Lawrence and David Letterman get cozy on "Late Show"

Jennifer Lawrence got a chilly welcome on the “Late Show with David Letterman” on Wednesday, not from the host but the climate in the studio.

Letterman, 66, then got up from behind his desk and huddled under with the 23-year-old star.

"Goodnight, everybody!" Letterman told the audience. "Oh, I wish they'd go away. I wish they'd go away, don't you? They can't see us now!"

"Go away!" Lawrence laughed.

"Go away, everybody!” said Letterman. “I wonder if they're gone. Are they gone? I hope they're gone.”

"I don't know if they're gone, but the rumors are going to start," Lawrence joked. She told the host she was “so tired,” and not without reason – she’s been promoting both “Catching Fire” and her other upcoming film, “American Hustle.”

Watch the two cuddle up below: