The midfielder will be able to play for Nuneaton in their FA Trophy game against Willenhall on Saturday but not in the FA Cup aganst Exeter City.
"Adam needs games, as does Jermaine Grandison and Ashley Cain," said Coleman to the CT. "I have been contacted by Nuneaton and they'll take him for a month initially.
"He can play in the FA Trophy, but he can't play in the FA Cup first-round tie against Exeter.
"We are trying to get the other two out as well but we can't at the minute because of the number of injuries we have had. Once that squad starts getting thicker, they can go on loan.
"Adam works hard in training and has a fantastic attitude and his appetite is brilliant and he just needs to go out and play games."