The Australian television personality, who was nominated for a Gold Logie award last year for her role on the chatshow, decided last December to quit the show in order to host Mix FM's breakfast slot.
Comedian and Celebrity Apprentice Australia winner Julia Morris was believed to be taking over after Swan recently sent her a Twitter message saying: "Gah! Is it true? Taking my spot on The Circle? I hope so! You'll LOVE those girls. Good luck!"
However, Ten sources have told the Herald Sun that there is "no rush" to confirm a new host. Instead, they are reportedly going to have a host of "regulars" tested on the show before finding a more permanent replacement.
Guest hosts other than Morris believed to be lined up for The Circle include singer Olivia Newton-John, McCloud's Daughters actress Michala Banas, Spicks and Specks star Myf Warhurst and former Neighbours actress Colette Mann.
Swan started her new job on Mix FM last week, taking over from Brigitte Duclos and Anthony 'Lehmo' Lehman, while Swan's The Circle co-stars Yumi Stynes and Gorgi Coghlan are staying on the show.
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