The 19-year-old linked up with the Conference North outfit late on Friday and will remain with City until 7 January, 2013.
The Scot started his first match for City against play-off rivals Halifax on Saturday, but was forced to withdraw from the action after just 30 minutes because of concussion.
His side went on to lose the game 1-0.
It is Hutchison's second loan spell of this campaign, following a stint at Lincoln City earlier in the season.