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.

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.

She and Busson, 49, began dating in 2007 and, after a brief split in 2009, have been together since.

Last June, the couple joined Prince William and Kate at a lavish charity gala at Kensington Palace, an event that marked the Royal couple's official "coming out" as newlyweds. The gala benefited Busson's Absolute Return for Kids (ARK) charity.

Thurman will soon appear in a five-episode arc in NBC's drama Smash.

沪江娱乐快讯：因《低俗小说》走红的性格女星乌玛瑟曼与2007年与金融家Arpad Busson走在一起，两人经过五年的分分合合。日前，这位41岁的女星向《人物》透露，他们即将迎来两人的第一个孩子。乌玛瑟曼与前夫伊桑霍克育有一子一女，分别为13岁的玛雅和10岁的列文。