Everton host fellow top four chasing team Arsenal on Sunday, April 6 and, should Roberto Martinez's men claim victory, they will narrow the gap between themselves and fourth spot to just one point, while they are still to contest a game in hand.
Arsenal were once gunning for the Premier League title, however, have fallen out of the race and are now in danger of becoming embroiled in a battle for fourth place, with Everton breathing down their necks.
As it was Arsenal who knocked them out of the FA Cup, Everton are eager to turn the tables on their Goodison Park guests at the weekend, by knocking the North Londoners out of the top four and into Europa League qualification instead of a lucrative passage into the Champions League.
"We are looking forward to playing Arsenal," said Everton shot-stopper Tim Howard who has, in Premier League competition alone, conceded 31 times, has made 88 saves and kept 11 sheets clean.
He continued on Sky Sports: "We still have a sour taste in our mouth about what happened at the Emirates in the FA Cup, so we will try and put that right at home. Two weeks ago we were looking to catch Tottenham, now we are asking ourselves 'can we catch Arsenal?'. We're not favourites to finish fourth because the gap is still four points.
"It's in our hands because we have a game in hand and we have to play them, but they still have that four-point lead so it is difficult. We are on the outside looking in, but we are in the fight. If we could win next week and keep on their heels, that would be important for us."
Howard was an un-used substitute when Everton to Arsenal 4-1 in the sixth round of the FA Cup. He did, however, play a significant role in Everton's 1-1 draw with the red and whites at the Emirates Stadium, in December.