Vincent Kartheiser and Alexis Bledel
03/20/2013 AT 01:05 PM EDT
Life imitates ad art.
Last season on Mad Men
, the Pete Campbell character
played by Vincent Kartheiser had an extra-marital affair with the character Beth Dawes, played by Gilmore Girls
star Alexis Bledel
Now, on brink of the April 7 new season premiere of the AMC series, PEOPLE confirms the news that in real life the couple are to be married!
This will be a first marriage for both Bledel, 31, and Kartheiser, 33.
Bledel, who was Rory Gilmore on her previous series, dated Milo Ventimiglia (Jesse on that show) for three years, until their split in 2006
As Bledel told PEOPLE
when asked about marrying Ventimiglia: "I think everybody who has been dating for more than a couple of years probably talks about it at some point. It's a fun thing for us to talk about, but that's it."
And while Kartheiser had previously been linked to actress Rachael Leigh Cook
, in a 2010 profile The New York Times
was particularly impressed by the fact he lives and works in L.A. – and takes public transportation.
"The hardest part of riding the bus is dating," he said. "Girls, as much as they are independent, want on a certain level to have certain things."
Perhaps they can add a car to their wedding registry.