updated 09/17/2010 AT 3:15 PM ET
•originally published 09/17/2010 AT 4:10 PM ET
Having already met his parents last year, Zellweger is getting in even more family time with her boyfriend’s folks.
The actress, 41, who is settling into her new home with Cooper – a $4.7 million, 3-bedroom, 3-bath house in Pacific Palisades, Calif., – was spotted shopping with his mom, Gloria, for household items in the Los Angeles area this week.
The duo, who also hung out at a fashion event together in March, picked up paper towels and other basics from CVS.
And while the actress may be clocking in some quality time with Cooper’s parents, she isn’t calling them her in-laws just yet.
Reps for Zellweger and Cooper, 35, who’ve been dating since July 2009, denied rumors earlier this summer that the couple were engaged.
Reporting by PERNILLA CEDENHEIM