The Nigeria international, who is on a season-long loan from Chelsea, has recently been suffering with a thigh problem.
However, Moses now hopes to be in the Stoke starting lineup for the visit of Swansea in the Premier League on Sunday.
"Feel good to be back training and now looking forward to the game on Sunday," he tweeted. "Thanks for all your support."
Moses has made seven appearances in all competitions for Stoke this season.