Aston Villa 0 Manchester City 1: Roberto Mancini rues injuries to Jack Rodwell and Sergio Aguero despite win Rodwell is facing another extended spell out of action, with the £12 million signing appearing close to tears as he left the field in the first half. The England international was only making his second start since September at Villa Park but was replaced after 25 minutes and Mancini admitted Rodwell was "distraught." Rodwell had claimed last week that he believed his injury problems were finally behind him after taking extraordinary steps in an attempt to change his luck, including moving house and changing his car. But Mancini, whose lingering hopes of retaining the Premier League title remain alive after Carlos Tévez's goal, does not expect Rodwell to return until after the international break later this month. He will miss the FA Cup tie against Barnsley and the trip to former club Everton. "Jack is really unlucky because he is a good player and has been playing very well," Mancini said. I think he will be out until after the international break, it will be three to four weeks. I am very sorry because he is a young player, he played very well against Chelsea and here. Mancini also confirmed that Sergio Agüero would miss Saturday's FA Cup tie with a knee injury picked up in training but refused to admit defeat on the title race after Manchester United's lead was cut to 12 points. Manchester City face Manchester United on April 8 and Mancini is desperate for his players to ensure their trip to Old Trafford does not become an embarrassing experience. We need to win all the matches and they lose four or five, but it is difficult because they are too strong for this. We have to keep believing. Tévez's winner on the stroke of half-time, punishing a mistake from Villa captain Ciaran Clark, was enough to condemn Paul Lambert to his 14th defeat of the season and keep the club in the bottom three. Villa now face two basement battles against Reading and QPR but Lambert is convinced his team can avoid relegation. If we keep playing like that we will survive. The next two games are massive for us.