Justin Theroux 'Happy' with Jennifer Aniston

02/14/2012 at 08:00 PM EST

  • Jennifer Aniston and Justin Theroux at London's Shoreditch House in July 2011.
    Optic Photos/Pacific Coast News
  • Jennifer Aniston and Justin Theroux, at the Jan. 28, 2012, Directors Guild of America Awards cocktail reception
    Kevin Winter/Getty
  • Jennifer Aniston, Justin Theroux, Jason Bateman and wife, Amanda Anka. The couples dine together in June 2011.
    WireImage; Bauer-Griffin
  • Justin Theroux and Jennifer Aniston attend the Hoyle Jackson denim launch in New York City on September 15, 2011
    Amy Sussman/WireImage
  • Jennifer Aniston and Justin Theroux travel together in July 2011.
Jennifer Aniston and Justin Theroux may be teaming up onscreen for the new Judd Apatow movie Wanderlust, but it's their off-screen relationship that people are more interested in. And that's a subject on which Theroux, at least, is vowing to keep mum.

"I understand the curiosity, but other than saying I am happy, I am not going to indulge it," Theroux, 40, recently told New York. "That's building your own torture device."

For her part, Aniston, 42, recently described herself as feeling joyful and peaceful in the relationship.

The couple, who met on the Wanderlust set and have been seeing each other since last May, moved in together about six months ago.

But while they have no plans to get married or have children anytime soon, according to Aniston, they did recently welcome a new addition – a 3-month-old boxer-pitbull mix named Sophie.

"She’s the most adorable little cookie you’ve ever seen," Theroux told the magazine of their black-and-white rescue puppy. "She looks like she just smoked an exploding cigar."

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