Fernandinho volleyed in an 89th-minute winner as City survived Villa scare.
Manchester City’s Vincent Kompany may not be fit before the end of the season because of a muscle injury.
Defeat kept fourth-placed Manchester City nine points behind leaders Chelsea.
Philippe Coutinho’s winner against Manchester City at Anfield led Liverpool to a 2-1 win against Manchester City.
Manchester City suffered from deja vu as Luis Suarez’s double gave Barcelona a 2-1 first leg lead.
A year ago at the same stage City bowed out 4-1 on aggregate against the four-times European champions.
Manchester City take on Barcelona and Juventus face Dortmund as the Champions League gets into its stride.
Liverpool’s late victory over Spurs on Tuesday has opened up a riveting race for the Champions League spots.
City’s chances of winning the League title will almost certainly end if they lose at Stoke on Wednesday.
West Ham climbed above Liverpool into seventh with 36 points from 22 games.
Leaders Chelsea and champions Manchester City match each other stride for stride.
Lampard initially joined City on loan for six months from New York City FC after leaving Chelsea at the end of last season.
Chelsea, Manchester City continue winning run; Manchester United keep pace with 3-1 win over Newcastle.
Mourinho is also confident that Eden Hazard will sign a new contract at Stamford Bridge.
Arsenal manager Arsene Wenger will face his old club AS Monaco for the first time.