Ashton Kutcher and Mila Kunis
03/05/2014 AT 10:25 AM EST
If you want to get a glimpse of newly engaged couple Ashton Kutcher
and Mila Kunis
, your best bet is on TV.
The real-life duo
will appear together on Kutcher's show, Two and a Half Men
, in which they will also play a couple, PEOPLE has confirmed.
The romantic plot line calls for Kunis, as a character named Vivian, to rock Kutcher's world, showing up on his doorstep even as his character is set to pop the question to another woman, according to a statement released by CBS.
This will mark the second time the pair have played a couple on a sitcom, having first hooked up onscreen in the hit series That '70s Show
, in which they played Michael Kelso and Jackie Burkhart
Kutcher, 36, and Kunis, 30, began dating
offscreen in 2012, following his split
from wife Demi Moore
the year before, and speculation eventually swirled
that an engagement was imminent.
In February, news broke that the couple were heading down the aisle after Kunis was spotted shopping while wearing a diamond ring on her left ring finger. A source confirmed the engagement
to PEOPLE, calling the couple "incredibly happy together."
With reporting by AILI NAHASFor more on Mila and Ashton's engagement, pick up this week's issue of PEOPLE, on newsstands Friday.