The couple, who tied the knot in a star-studded ceremony in Italy in 2010, has never made secret of their desire to have a child, reported Us magazine.
"They both want kids, it's one of the reasons they got a bigger place, in a neighbourhood that you can raise a family. They both couldn't be more excited," a source said.
In an interview last year, the 30-year-old British actress opened up about their hope to start a family.
"We want to have children; I just don't know when yet. I'm just not sure about the timing of all of that. We're both from big families, so I think it's something we want," she said.