The couple started dating in April after meeting at New York's Museum of Modern Art's Costume Institute Gala and have recently been at the center of engagement and regnancy rumors.
When asked by the Sydney Telegraph newspaper if the pair were engaged, Schreiber said, "We don't discuss that with anybody.
"It's strange—well for me anyway—to be inundated with all this attention, and as a couple we have to struggle to keep our personal life personal."
The couple are due to fly to Beijing, China, later this month to film The Painted Veil together.
Article Copyright World Entertainment News Network All Rights Reserved.