The couple, who have been dating since last year (09), was rumoured to be moving in together after purchasing a $5 million (£3.1 million) house in Pacific Palisades, California.
But a spokesperson for Cooper insists the pair did not buy the property together, confirming to GossipCop.com that the Hangover star is the sole owner of the luxurious three-bedroom home.
Zellweger sold her Los Angeles home in 2004 and moved to New York City.
