The England international suffered ligament damage during November's 2-1 defeat to Manchester United and was subsequently ruled out for three months after undergoing surgery.
According to one report in the British press on Monday, Wilshere was set to be sidelined for up to five months after falling behind schedule in his rehabilitation.
However, the club's communications director Mark Gonnella rubbished that suggestion, insisting Wilshere remains on course for a return early in the new year.
"Jack Wilshere has not had a setback. On schedule for return to squad as per original plan. 12 weeks from injury," he wrote on Twitter.
Wilshere is part of a lengthy injury list at the Emirates Stadium that also includes the likes of Mesut Ozil, Mathieu Debuchy and David Ospina.
‘The pure simplicity of the way Slot has managed the squad is probably the biggest thing I could say about him. It’s not broken, so let’s get on with it’: Liverpool legend full of admiration for Jurgen Klopp's successor at Anfield
‘I trained at Spurs and thought they’d give me a chance. But I received a letter thanking me but saying they didn’t think I was good enough – I was gutted’: How Tottenham missed out on signing Wales legend John Toshack
