Jason Sudeikis and Olivia Wilde are engaged

This time around, it’s true: Jason Sudeikis and Olivia Wilde are engaged.

The “Saturday Night Live� star proposed to the “Cowboys & Aliens� actress shortly after the holidays, according to People, which first shared the news.

“They are so excited, and very, very happy,� a source close to both performers told the mag.

“Thanks for all the sweet congratulatory love, friends!,� Wilde said Sunday via Twitter. “And may I compliment your savvy use of that nifty engagement ring emoticon.�

Sudeikis, 37, and Wilde, 28, have been dating since November 2011 and moved in together last fall.

In early December, a report said the two were “secretly engaged� and planning a wedding in Sudeikis’ home state, Kansas. Alas, that was untrue at the time, according to Wilde’s rep.

There’s not yet talk of a date for the wedding, the second for both of them. She eloped with Italian prince Tao Ruspoli at age 18 and divorced him when she was 27. He was wed to “30 Rock� writer-producer Kay Cannon in 2004 after five years of dating; they divorced in 2010 after separating in 2008.

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PHOTOS: Celebrity portraits by The Times