Are Natasha Lyonne and Fred Armisen Dating?

Orange Is the New Black's Natasha Lyonne is Dating Fred Armisen
Natasha Lyonne and Fred Armisen
Eric Charbonneau/Invision for Netflix/AP

08/26/2014 AT 03:10 PM EDT

New couple alert!

Stepping out at Netflix's post-Emmy celebration at the Chateau Marmont, Natasha Lyonne and Fred Armisen "shared kisses and were very cozy together," an onlooker tells PEOPLE.

The Orange Is the New Black star, 35, mingled with her costars at the bash – including Taylor Schilling, Dascha Polanco and Laverne Cox – but Armisen, 47, was constantly by her side.

The Portlandia actor was most recently linked to his fellow Saturday Night Live cast member Abby Elliott after a brief marriage to Elisabeth Moss.

Reps for Lyonne and Armisen have not responded to requests for comment.

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