He returned to training before the final defeat of the Carabao Cup for Manchester City and intensified the intensity this week.
McGinn still needs to train with full contact, so Monday's meeting against Leicester City will come very soon.
Instead, he is destined to return to the team's journey for the home matchup against Chelsea on March 14th.
Dean Smith, head of the Villa, said: “He's close now. He's training with us, but no contact yet, but he's involved. "
"We've taken his reins off a bit since he was here – we allowed him to enter the opponent's area and we saw what he can do by scoring goals for Aston Villa and Scotland now."
Smith added: “You miss players like John, who is the best player. I told the medical team the other day that we miss his legs and his quality, because he gives you everything.
"So don't give me back without his legs and his quality! Mentally, he can handle anything, without a shadow. Mentally, he's as strong as they are. A very good guy.