The Blues sit top of the league table three games into the campaign, having beaten Burnley, Leicester City and Everton - the latter via a terrific 6-3 win at Goodison Park.
And defender Cahill feels his side will be 'up there challenging' once again this term.
Jose Mourinho's side finished third in the Premier League last season, four points behind eventual winners Manchester City.
Cahill, however, feels things could have been so different had just two or three results gone right for the Blues.
Defeats to Crystal Palace, Stoke City and Mourinho's first ever Premier League loss at Stamford Bridge - to Sunderland - stick out as games the west London side could and should have won.
"I think we'll be strong," the 28-year-old told the official programme for England's friendly against Norway.
"Last season, we were up there and, arguably, if we could have changed two or three results, all of a sudden we would be in a different position, though I'm sure other teams could say the same.
"I haven't got a crystal ball, I can't say if we are going to win the league or not - but I'm confident that we will be up there challenging and in amongst it."
Interestingly, Chelsea's next league clash comes against the only other side in the top flight to have won all three of their games so far - Swansea City.
Mourinho's men will host the Swans on Saturday September 13th, after the international break.