Alex McLeish's side are now able to turn their attention fully to the battle to stay up after winning the Carling Cup and reaching the quarter-finals of the FA Cup.
Blues have achieved some notable results against the leading sides this season, most notably a home win over champions Chelsea. But centre-back Davies knows they have to get the best of their closest rivals to ensure their top-flight status for next season.
Fight to survive: Curtis Davies wants three points to boost Birmingham's chances of avoiding the drop when they meet Wigan this weekend
'You'd say that we need four more wins but I think the most important thing is to beat the teams around you,' said Davies.
'We lost to West Brom a couple of weeks ago and it catapulted them up the league and kept us down there.
'If you beat the teams around you, it gives you a bit of breathing space because at the moment, a lot of them are getting good results.
'West Ham have improved from a position where people were saying they are already going down, so it is a tough ask.
'It is so tight that one win can catapult you up four or five places and hopefully on Saturday we can get that win at Wigan.'
Stuck in: Davies insists Birmingham must bounce back from their FA Cup disappointment and improve their league position
Davies added: 'Wigan is a massive game. Our form if anything has been better away from home.
'I don't know if that is because of the shape we play. To get three points there would be massive in helping us to stay up.
'Wigan are a team that can play football and on their day they can match anyone like they showed against Manchester City.
'I know they lost 1-0 but they matched City all the way and could have nicked it.
'Depending what Wigan turns up on the day, it will be a tough game.'
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