Last year Chelsea collected both the FA Cup and Champions League trophies under former boss Roberto Di Matteo, and a strong run-in this time around could see them lift the Europa League and claim a spot in the top four of the Premier League.
Cahill, who returned from a knee injury in Sunday's 2-0 win over Swansea, admits there are some tough fixtures ahead but wants another impressive end to the season.
"Last season was a strong finish and I hope we can do the same this year," he told the club's official website.
"We know what we have to do between now and the end of the season and we have to start by putting in performances like we did against Swansea and getting the wins.
"We're in a good position but it's dangerous because we've got some great teams coming up in Spurs, Manchester United and Everton, who people tend to forget about but they're not far away.
"Obviously we've got the cup as well so it needs a big push from the players over an important few games."