The Sun says the Latics have swooped to bag Smith, 22, on a two-year deal from Norwich.
The 22-year-old, whose move will be completed on 1 July, played 10 times while on loan at Lee Johnson's side at the back end of last season.
He made 19 appearances for Yeovil, managed by Johnson's father Gary, in the first half of the campaign.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!