The Scottish utility man, who has yet to feature for City since their promotion to the Barclays Premier League, will be hoping to play regular football at Bramall Lane.
He told the club's official website: "I am really looking forward to the challenge and this is a great opportunity for me personally.
"I want to play some games and help the lads out of the current predicament we find ourselves in.
"When you aren't playing at your club, going out on loan is a fantastic option, but first and foremost I just want to contribute to helping the lads."
- Sports & Recreation
- Barclays Premier League