Everton manager Roberto Martinez expects Arsenal to follow suit and drop points in the scramble for fourth place in the Premier League.
A 3-2 defeat against Crystal Palace at Goodison Park on Wednesday means Everton passed on the opportunity to leapfrog back over Arsenal – who beat West Ham 3-1 24 hours prior - into fourth in the battle to secure qualification to next season's UEFA Champions League.
With four league games remaining, Arsene Wenger's men will secure a top-four finish if they match Everton's results over the coming weeks.
And Martinez has cranked up the pressure by suggesting that the London club will not win all their remaining fixtures, insisting his Everton side, a point further back, will fight to the end.
"We have 12 points to play for," the Spaniard said.
"We are close to fourth place and we are still in a good position.
"I don't think Arsenal will take maximum points from their remaining games.
"If you looked at the start of the season, it's a magnificent position.
"The way we finished the second half gives me great optimism we can finish the season strongly."
Goals from Jason Puncheon, Scott Dann and Cameron Jerome prevented Everton from making it eight home league wins in a row.
Steven Naismith and Kevin Mirallas netted for the hosts to make it 2-1 and 3-1 respectively.
Martinez knows it is a fixture that Everton were tipped to win, but paid tribute to a plucky Palace performance.
"The result is a hurtful one because of the expectation that we had and the desire that we brought into the game," he said.
"In the first half we played with a bit of wanting to win so much that we forgot about simple basics. In the second half, it was completely different.
"We were positive and back to being ourselves.
"But in every aspect, the game played into Crystal Palace's hands. They were well organised, happy to sit behind and play on the counter and dead balls."
|Coach: Roberto Martínez|
for Gerard Deulofeu 46'
for A. McGeady 59'
for G. Barry 59'
|Ba left out of Senegal AFCON squad|
|Redknapp frustrated by penalty call|
|Wenger sees Giroud wrongs|
|Premier League schedule a ´disgrace´, says Poyet|
|Championship Review: Bournemouth stay top, Heskey scores on Bolton debut|
|Hughes lauds Bojan performance|
|Koeman: Saints marching on|
|Pardew rues referee error|
|Arsenal 2 QPR 1: Sublime Alexis secures the spoils|
|Martinez questions Walters decision|
|Poyet laments Sunderland mistakes|
|League One Review: Swindon cruise to win over Walsall|
|Irvine aware of need for improvement|
|United still doing ´very bad things´ - Van Gaal|
|Lambert proud of players despite Swansea defeat|
|Warnock bemoans Palace defence|
|Bruce hails Hull´s spirit|
|Pochettino relieved to come away with victory|
|Dyche: We had our pocket pinched|
|Monk hails Fabianski performance|
|Pearson demands greater concentration from Leicester|
|Kompany set for City return|
|Rodgers hails character after battling win|
|League Two Review: Ainsworth frustrated by Luton, Shrewsbury go top|
|Everton 0 Stoke City 1: Lacklustre Everton slip to defeat|
|Sunderland 1 Hull City 3: Triumphant return for Bruce|
|Burnley 0 Liverpool 1: Sterling wins it at Turf Moor|
|Leicester City 1 Tottenham 2: Eriksen piles misery on Pearson´s men|
|Manchester United 3 Newcastle United 1: Rooney extends hosts´ streak|
|West Brom 1 Manchester City 3: Three and easy for in-form champions|
|Swansea City 1 Aston Villa 0: Hosts break Boxing Day duck|
|Crystal Palace 1 Southampton 3: Mane marks return with star performance|
|Allardyce upbeat despite defeat|
|Van Dijk happy at Celtic - Deila|
|Table-topping Chelsea delight Mourinho|
|Chelsea 2 West Ham 0: Mourinho´s men ease to victory|
|Suarez enjoying Messi, Neymar link-up|
|A-League Review: Garcia rescues point for Perth, Adelaide up to second|
|Poyet calls for mid-season break|
|Van Gaal rules out Januzaj move|
|Rodgers: Balotelli may have to get used to bench|
|Lallana: I was trying too hard|
|Walker juggles music, football careers in Sweden|
|Song to face ´brother from another mother´ Fabregas|
|Adriano announces Le Havre deal|
|Pardew braced for Old Trafford test|
|Lescott unfazed by City reunion|
|Tskhadadze appointed Georgia coach|
|United to finish top three - Ferdinand|
|Allardyce: Stamford Bridge stalemate saved my job|
|Southampton need three January signings, says Watson|
|Liverpool can make Champions League, says fanzine editor|
|Walsh: Hull clash crucial for Leicester|
|Toure, Aubameyang and Enyeama make shortlist for African gong|
|Docherty backs Chelsea to win two-horse race|
|Liverpool could benefit from Hyypia influence - Scales|
|Saudi Arabia name Asian Cup squad|
|Forty-year-old Cahill no problem for Postecoglou|