ET caught up with the 40-year-old comedian at the Hammerstein Ballroom in New York City while he was rehearsing for the Studio C live shows, which were filmed for a one hour television special that aired as the ninth season premiere of Studio C on BYUtv, Monday, Sept. 10 at 7p.m. MT and repeated at 10p.m. MT.
While there, Thompson dished about his Saturday Night Live co-star's relationship with Grande, saying that he's "happy for them."
"It's a beautiful thing and Ariana is a sweetheart," Thompson said. "I just wish [them] nothing but great luck."
Thompson is clearly wishing the couple well, though he also understands the added pressure they face thanks to social media.
"It's so hard to be such a public person like that... especially in the social media age," he said. "I am a little older, so I don't pay as much attention to social media like that, but people that are knee deep in it like those two, it's got to be pretty stressful."
The dad of two continued, "Hopefully they can just keep their peace in their personal lives and their home and stuff like that... God bless them."