The midfielder has been out for three months and made his comeback in an under-21’s match up against Reading, which he managed to play 63 minutes.
Everton are short in midfield with captain Phil Neville out injured and Marouane Fellaini missing due to injury, so Gibson’s return would be a welcome boost to the depleted midfield ranks.
“Preparations have been ok. We’ve got a few injuries but everyone looks fine and we are getting ready for the game,” Moyes told EvertonTV.
“Darron Gibson is starting to make some recovery and he’s going in the right direction. That’s positive and we hope he won’t be too far away.
“Someone will have to come in because unfortunately Fellaini is suspended, but it was always going to happen sometime”.
Despite several injury concerns, Everton are in fifth place in the Premier League and welcome Norwich at the weekend who are unbeaten in their last five games keeping four clean sheets.
Gibson’s international career is still up for debate after withdrawing from the squad in September following a disappointing Euro campaign.
If Gibson is to cement a regular place in the centre of Everton’s midfield and help challenge at the top of the Premier League, then he will draw the attention of Giovanni Trapattoni once again.