Russian socialite/actress Anna Anisimova is set to become a first-time mum.
The star is due to welcome her first child in April (14) with her film producer husband Peter Schafer, according to New York Post gossip column, Page Six.
Anisimova, who has starred in films alongside Rachel Weisz and Kevin Spacey, tied the knot with Schafer in 2010 in New York City.
The couple has yet to comment on the news.
Swinton herself is an ex-boarding school pupil.