"We can't wait to meet you," Raver-Lampman wrote in the caption.
Several of the actors' friends and co-stars were quick to send their congratulations to couple, sharing their joy at the big baby news in the comments.
"Whaoooo! Let's go team!" wrote Raver-Lampman's Umbrella Academy co-star Tom Hopper, while Kristen Bell added: "EXCUSE ME so happy for u guys!!!!"
Following his work as Marquis de Lafayette/Thomas Jefferson in Hamilton, Diggs has lent his voice to Spruce in Trolls 3 and Sebastian the Crab in The Little Mermaid.
Aside from her work on Umbrella Academy, Raver-Lampman has appeared in the movie Gatlopp: Hell of a Game.
Earlier this year, Diggs spoke about his role in the live action Disney movie, telling Digital Spy how the iconic track 'Under the Sea' was recreated for the film.
Explaining how Ariel actress Halle Bailey ended up singing in this version, Diggs revealed it came about after a last minute improvisation in the studio with Bailey and composer Alan Menken.
"Alan was like, 'Why don't you just, you know, just go in and improvise'. And I was like, 'You traitor, don't make me sing with her!'" he said.
"Then immediately she came in and did like two little trills and I was like, 'Well, I'm done, we can stop now, there's no reason for me to record anymore."
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