© Rex Features
The pair's reps have denied speculation that the rumoured couple was preparing to marry, after the actress allegedly spent two hours looking through wedding dresses in a Caroline Herrera shop last week.
Earlier this year, The A-Team star refused to talk about his relationship with the Oscar-winning actress.
Zellweger and Cooper co-starred together in the 2009 thriller Case 39.
The A-Team is currently playing in US cinemas and arrives in the UK on July 30.
