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 confirms to PEOPLE exclusively.
Thurman, whose bump went unnoticed when she stepped out for New York Fashion Week earlier this month, has two children – daughter Maya, 13, and son Levon, 10 – with ex-husband Ethan Hawke.
Thurman and Busson, 49, began dating in 2007 and, after a brief split in 2009, have been together since.
Thurman will soon appear in a five-episode arc in NBC’s drama Smash.