Rudy Gestede a scored inside 10 mins to justify his selection ahead of Heidar Helguson in the starting line up against Millwall today.
It was a third win in a week and keeps City five points clear at the top of the Championship.
The win was vital after Hull City had won earlier in the day and Middlesbrough won at home against Blackpool. Crystal Palace conceded a last minute goal to draw at Forest.