Stubbs has recently returned to Latics after a spell with League Two side Crewe Alexandra, in which he made eight appearances in all competitions.
The 19-year-old, son of former Everton ace Alan Stubbs, signed professional terms with the Latics ahead of this season, having been with the club since he was 14.
Initially with Everton at a young age, Stubbs has featured for the Wigan first-team this season, making his debut in a 2-1 Carabao Cup victory over Blackpool in August.
He will now join Dave Challinor's side, who travel to Bromley tomorrow.