Sweeting, 26, wore a plain grey T-shirt, jeans and bright red sneakers, while Cuoco, 27, similarly kept things casual between filming, wearing an oversized dress shirt, sweats and flip-flops. Both the actress and her tennis star beau donned dark shades in the sunny Los Angeles weather.
The pair each carried a box of food with their names written on them as they headed to Cuoco's trailer for a lunch break.
The happy couple, who exclusively broke news of their engagement to Us Weekly late last week, made their first red carpet debut together at a pre-Emmys bash in Los Angeles on Friday, Sept. 20. In a recent interview with Entertainment Tonight, the actress admitted that the quick proposal (the couple has been dating for three months) might seem "crazy," but she knows that it's the right step forward.
"From day one I just knew immediately and it's been magic," she gushed. "We have all the same family friends. We grew up with the same people, we just never met. So I kind of feel that I've known him my whole life. I know that it seems crazy on paper, but it's what works for us."
The actress' family and friends have noticed how happy Cuoco is too.
"It's only been three months but she knows Ryan is the one," a source close to the actress told Us. "When you know, you know. [She's] never felt this way. She knows this is it. And the ring is gorgeous!"
Before dating Sweeting, Cuoco was previously briefly linked to Man of Steel hunk Henry Cavill in July. She was also previously engaged to addiction specialist Josh "Lazie" Resnik (they called off their engagement in March 2012), and dated her Big Bang Theory costar Johnny Galecki in seret for about two years.