Commons has caught the eye of the Goodison boss since returning to Stoke's first-team following a cruciate ligament injury that ruled him out for most of last season.
Moyes has also been made aware that the 20-year-old is out-of-contract at The Britannia Stadium at the end of this term and may be set to test the resolve of The Potteries outfit with an offer around the £400,000 mark in the New Year.
Stoke boss Tony Pulis has yet to open discussions on a new deal with his star midfielder, but Commons is unlikely to continue in the First Division with interest from Premiership clubs.
