"Do you think Kelly has never been approached by GMA? Of course she has," a source with knowledge of the situation tells PEOPLE. "She's been offered GMA gigs in the past and she's turned them down, because she loves the job she had and her loyalty is to her show."
News broke Tuesday that Strahan would be leaving Live! for GMA after this season. Ripa, 45, has been absent for the last two episodes of Live!, leaving early for a pre-planned vacation with her family after learning of Strahan's departure without advance notice.
"Here she is trying to celebrate her 20th wedding anniversary, a trip she's had on the books for months, and everything explodes, right before she was due to go," a source previously told PEOPLE, adding: "She's really hurt, in part because now this is hanging over her as she goes to celebrate this milestone."
Strahan has continued with the show this week with stand-in co-host Ana Gasteyer on Wednesday, and Erin Andrews filling in on Thursday.
"I'm very thankful for her, to her, because I've learned so much from her," Strahan said on-air Thursday. "And [producer] Michael Gelman showed me the ropes. I was so new to all of this and if it weren't for her and it weren't for Michael Gelman and the staff there that really boosted me up and made me look a lot better than I really am, I never would have had a chance to be here and I'm grateful that I'm here. We're on the same team, same family, same network."
Live! With Kelly and Michael airs weekdays (check local listings).