The 37-year-old actress, who has nine-year-old son Milo with ex-husband Royston Langdon, and her British boyfriend Dave Gardner are expecting a child together, reported Contactmusic.
"Liv's life is established in New York and she and Dave have talked about the benefits of basing themselves there for when the baby is born.
"Dave spends a lot of time there already but he knows Liv would like to be there for the early years of their baby's life. It's still at the discussion stage for now," a source said.