The Black Eyed Peas frontman told Heat that the setback should be "no problem" for the singer.
"She always comes back stronger, and she always comes back bigger," he explained. "Cheryl has been through rougher things than this, so this is going to be no problem for her."
will.i.am added: "And remember that Cheryl is a recording artist first. Over the next few months she's potentially going to be working with artists like Rihanna, Katy Perry, Usher, and of course the Peas."
will.i.am was recently announced as Cheryl's new manager, taking over from Hilary Shaw who also manages Girls Aloud.