The Mad Men costars began dating in 2020, and appear together in the 2022 film Confess, Fletch

Jon Hamm and Anna Osceola are engaged!

The Confess, Fletch costars are set to wed after two years of dating, PEOPLE confirms

The pair first reportedly met on the set of the AMC series Mad Men in 2015

before being spotted together on several occasions and romantically linked in 2020.

Hamm's rep has not commented

Osceola, 34, appeared in the series' final episode, where she had a small role playing the receptionist at Esalen

a spiritual California retreat that Hamm's character (Don Draper) attended

At the time, Hamm, 51, was in a long-term relationship with Jennifer Westfeldt