A safety enclosure for a Huber needle includes a needle housing and a panel unit. The panel unit includes a series of planar panels assembled in an enclosing arrangement defining an enclosed area and is movable between an installation position where the sharp outer end of the Huber needle projects from the panel unit and a safety position where the sharp outer end is covered by the panels. The Huber needle has an aft end and a fore end connected by a bend with the fore end including a sharp outer end.