A source told The Sun newspaper: "They loved the house as soon as they saw it. They know it's not realistic at this point in their thriving careers to live in the UK, but they want a bolthole across the pond.
"Jen loves the English way of life and as they are now serious again, it makes sense to look into buying somewhere."
The couple, who have been dating on and off for three years, viewed the £1.3 million property while visiting Nicholas's family in nearby Berkshire over Christmas and also spent the day checking out the area, including local pubs and restaurants.
Jennifer, 23, first met Nicholas, 24, on the set of 2011's 'X-Men: First Class' but they later split in January 2013 before getting back together over the summer to film the new 'X-Men' movie.
They were spotted kissing last month at the Golden Globe Awards as 'American Hustle' star Jennifer picked up one of the night's top honours for Best Motion Picture (Musical or Comedy).
Jennifer embraced Nicholas with a kiss on the lips and placed her hands on his face before joining the cast and crew on stage to accept the award.