The Blues were held to a frustrating 1-1 draw with West Ham United in the London derby at the London Stadium in the Premier League on Sunday evening.
Spanish defender Cesar Azpilicueta broke the deadlock in the first half before former Manchester United striker Javier Hernandez levelled with 14 minutes to play.
Chelsea FC are in fifth place in the Premier League table and 10 points adrift of Liverpool FC and Tottenham in third and fourth spot.
The Blues have failed to win six of their last eight games to plunge down the Premier League table under Antonio Conte.
The defending Premier League champions can take solace from their run in the FA Cup with a last-four meeting against Southampton later this month.
Chelsea FC captain Cahill conceded defeat in the race to secure a place in next season’s Champions League competition.
“If you’re asking me if Tottenham are going to drop eight points plus, it is not going to happen,” Cahill told the Evening Standard.
“A good team is not going to let that kind of lead slip.
“We’ve done it before when we were top of the league, it doesn’t slip. If you’re a good side, which they are, it doesn’t slip.
“I will be very, very doubtful if that is the situation. The way that me and my team-mates play, we don’t give up on anything, but we know that the season hasn’t gone to plan.
“The league is where it is at the minute and we have the FA Cup to rescue the season. The season is about trying to win the FA Cup.”
The Blues lost 4-1 to Spanish giants FC Barcelona in the Champions League round of 16 last month.
The west London side have won the Premier League title in two of the past three seasons.
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