The model had been presenting a regular fashion item on the show, which was due to last all summer, but she cancelled her most recent appearance after claims that fiancé Peter Crouch had cheated on her.
According to the Daily Star Sunday, Clancy will take a four-week break from the programme, before returning to front a permanent fashion feature.
A source said: "Everyone thought Abbey did a fantastic job. She's a style icon to many women and she obviously knows her stuff.
"She's very natural in front of the cameras. It'll be a major coup if we get her but the bosses are pulling out all the stops."