"Julie has been exceptionally loving," Inaba told ET's Kevin Frazier while on set following the announcement. "I have so much respect for her."
Inaba also received a very special gift from Chen, congratulating her for her new role on The Talk.
"She sent me flowers," Inaba revealed. "She was one of the first people to send me flowers and I just have so much love in my heart for her. She's a strong woman, and I know she's going through a lot, and I just send her all my love. I am so grateful for her."
As for her new gig? Inaba says that "it works out perfectly" with her DWTS schedule. "I couldn't have asked for a more ideal situation."
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Watch Julie Chen Sign Off 'Big Brother' as Julie Chen Moonves
"I've been guest co-hosting for, I think, over a year now," she explained. "Oh, it's going to make me cry -- it got so... I felt like I ran a marathon. Like, since the first time I was on the set, I just felt like I love these women and I have so much to grow by being with them, and I just cried. I actually laid down in my hallway and, 'Oh my god. I actually get to do this for a living? This gets to be my job? I get to come here and be with these incredible women and learn and share with them?' I'm lucky, very fortunate."