Joe Royle had commiserations for Coventry but said Town fully deserved the three points at Highfield Road.
Lewis Price saved a first-half penalty from Stern John, Dean Bowditch put Blues ahead midway through the second-half, Patrick Suffo equalised against the run of play 13 minutes from time before an own goal from Matt Mills on 87 minutes gave Town victory.
"The lad was unlucky with the own goal but we fully deserved the victory," said Town boss Joe.
"We defended well as a unit and they had very few chances.
"Lewis did well with the penalty save and Darren Bent made the first goal for Bowditch down the right flank.
"It's nice to go into the break on top of the League with Wigan - I don't count goal difference!"
Town are level on points with the Latics with 24, Town second on goal difference.