The Blues defender admits they’ve underperformed in the Premier League but is determined for success, starting with progression from the Capital One Cup semi final on Wednesday
The London club find themselves 11 points behind leaders Manchester United with 15 games to go in the season; but Cahill thinks the Blues still have a lot to play for this season.
Cahill told reporters: "We've just got to keep looking upwards, make sure we're in the Champions League spots for next season. We're still involved in both cups and we want to go as far as we possibly can in the Europa League.
"We just want to keep winning games. A lot of teams this season have slipped up here and there so we need to win as many as possible in the last four months of the season.
"We do still look at what City and United are doing. It's been frustrating because there have been many times this season when we've almost got ourselves back in there and then we just let it slip.
"But we're more than capable of putting a run together and winning nine out of 10 games. That's what we need to aim for us and see where that takes us."
The England defender is also confident Chelsea can overturn their two-goal deficit in the Capital One Cup semi-final against Swansea.
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The European champions go to Wales on Wednesday having to attack from the off and the 27-year-old believes they showed glimpses of their attacking prowess during the first half against Arsenal on Sunday.
He added: "Swansea will probably have enjoyed watching us having to work so hard [as Arsenal rallied in the second half] but they will also have seen just what we can do in the first half.
"We possess the players and the class to massively hurt teams. But consistency is the key for us. Sometimes we've had a few results this season which we would expect to win but haven't.
"In the first half against Arsenal we showed what we can do, created six or seven great chances and the game could have been dead and buried.
"The Swansea tie is not beyond us. We've done it before in the Champions League but it's going to be tough. I've been to Swansea three or four times and it's always a hard place to go.
"They're really well organised and they play some good football. The key for us is to score the first goal. If we do that I'm sure it will be a nervy night for them. That's what we aim to do.
"We have to think of it like a European tie. They are an attacking team but we need two goals and we have to go at them and try to hurt them.
"The first goal will be massively important and it's one of the biggest games of the season for us."