Mark Yeates’ volley five minutes from time meant the Spitfires made it seven wins from eight in the National League.
A goal at the end of each half from Chris Zebroski and Yeates respectively meant it was the perfect start to four consecutive home games for Eastleigh.
Ben Strevens made just the one change following Saturday’s big win away at Chesterfield. Match-winner Joey Jones suffered a knock in the closing stages and made way in the side for the returning Reda Johnson in defence.