Looks like Lea Michele and Robert Buckley are totally smitten with one another!

The two were snapped at rehearsals for their new Hulu show, Dimension 404, on Tuesday, and weren't shy about their relationship. Michele and Buckley held hands as they walked from the Los Angeles set, dressed casually.

WATCH: EXCLUSIVE PICS -- Lea Michele and New Boyfriend Robert Buckley Step Out for Dinner Date

The iZombie actor also kept his hand on Michele's lower back.

A source confirmed to ET in May that Michele, 29, and Buckley, 35, met through mutual friends and had been dating for a couple of months. The former Glee star split from her ex, Matthew Paetz, in February after nearly two years together.

When ET caught up with Michele at the FOX Upfronts in New York last month, she remained coy when asked about her new beau.

"You know, I'm just feeling really great right now and super happy," she smiled. "I feel very, very, very lucky and grateful in my life right now and that's all that matters."

Michele and Buckley play love interests in Dimension 404, a six-episode sci-fi fantasy anthology drama. Michele plays Amanda -- a witty, type-A girl -- who finds herself using online dating services as a way to try to get over a bad breakup. She matches with Buckley's character, Adam, who makes the mistake of saying "I love you" too soon.

On Tuesday, Michele excitedly Instagrammed a picture of the show's script.

"Exciting week at #Dimension404 this week! Can't wait!" she wrote.

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Watch the video below to see Michele adorably blush when asked by ET about her handsome co-star and real-life boyfriend!