Bryan Greenberg and Jamie Chung
01/03/2014 AT 04:00 PM EST
Jamie Chung has a stylish new accessory: an engagement ring!
The actress and PEOPLE StyleWatch Style Council member
, 30, is engaged to actor-singer Bryan Greenberg
, 35, a source close to him confirms to PEOPLE.
Chung hinted at the engagement on her website
Dec. 28, but stopped short of a confirmation.
"Hello everyone! I’m sorry for slacking," she blogged. "Crazy, beautiful things went down over the holidays and of course quality time with the family was long over due."
The pair have been linked since spring 2012
, and although they have kept things under the radar, in September Chung told Elle
their relationship is very down-to-earth – literally.
"He's kind of suffering with me on my journey training for a half-marathon. So that's been our thing," she responded when asked about date-night activities. "He's been running with me. The couple who runs together, stays together! We just stay pretty active. We actually do go camping a lot, but we stay in cabins ... it's glamping."
Chung got her start on The Real World: San Diego
in 2004, and has since appeared in shows including Once Upon a Time
and films like The Hangover Part II
and Sucker Punch
. Greenberg, a Nebraska native, got his first taste of fame a decade ago on One Tree Hill
. He then had a starring role on HBO's How to Make It in America
, and is currently filming a role in the untitled Lance Armstrong biopic.
E! News was first to report the engagement.
Reporting by CHARLOTTE TRIGGS