The move follows Shane Supple's decision to leave Town and retire from football earlier in the week, which has left Roy Keane's men short of goalkeeping cover should an injury happen to first choice keeper Wright.
The 25 year old Glovesman was released by former club Hartlepool in the summer having appeared in 46 games for the Monkey Hangers in the previous season, a run which ran from the start of the season until March, when he was sent off in a game against Southend after which he played no further part in the eason.
Prior to joining Hartlepool in August 2007, Lee-Barrett represented Weymouth in the Blue Square Premier where he appeared in 32 games over two season for The Terras.
Click here for a full player profile on Arran Lee-Barrett.