Steven Gerrard made it two wins from two as his Aston Villa side moved up to 11th following their 2-1 win at Crystal Palace on Saturday.
Matt Targett gave the visitors a 15th minute lead when his low drive went through a crowd of bodies into the net from Ashley Young’s corner.
Crystal Palace had been pushing for an equaliser when John McGinn caught them out with a fine strike from the edge of the box in the final five minutes.
Marc Guehi scored a consolation for the Eagles five minutes into stoppage time.
The former Rangers manager saw his side score a late winner versus Brighton & Hove Albion in his first game in charge will face his toughest test to date midweek when Aston Villa welcome defending Premier League champions Manchester City to Villa Park on Wednesday 1 December.
Watch the highlights from Crystal Palace 1-2 Aston Villa here: