Reds boss Steve Evans said: "Scott is an outstanding goalkeeper and we are delighted to add him to our squad.
"There were a number of good football clubs who wanted his signature but we have been rewarded for our hard work and patience."
The former Coventry and Wycombe stopper joined Wrexham in the summer but has not featured since their 1-1 draw with Kettering in September.
He will compete with Michel Kuipers and Nick Jordan for the goalkeeper's jersey.
Source: BBC Sport
Source: BBC Sport