updated 02/27/2012 AT 3:05 PM ET
•originally published 02/27/2012 AT 4:00 PM ET
There’s a baby on the way for Uma Thurman.
The actress, 41, is set to welcome her first child with financier Arpad Busson, a rep for Thurman confirms to PEOPLE exclusively.
She and Busson, 49, began dating in 2007 and, after a brief split in 2009, have been together since.