The Cherries are currently 19th in the table, three points behind 17th-placed Aston Villa, but they will also need 18th-placed Watford to drop points on the final weekend in order to escape the bottom three.
Everton have finished seventh, eighth and eighth in their last three Premier League campaigns, but the Toffees are currently down in 11th and cannot finish any higher, with 10th-placed Arsenal four points ahead.
Thirteen wins, 10 draws and 14 defeats – that is how the Merseyside outfit have performed in their 37 Premier League games this term, while they have only been victorious in one of their last five in England's top flight.
The Toffees will enter this match off the back of an impressive win at Sheffield United, but they have been held by Southampton and Aston Villa in their last two league matches at Goodison Park.
There is no question that the team have shown signs of improvement under Carlo Ancelotti, but it would be fair to say that there is still a lot of work for the Italian to do if he is to make the club top-six challengers.
Bournemouth, meanwhile, have endured a difficult season, winning just eight of their 37 league matches to sit down in 19th spot in the table heading into the final set of fixtures for the 2019-20 campaign.
The Cherries are three points off 18th-placed Watford and three points off 17th-placed Villa, meaning that they will need to beat Everton in this match and hope that Villa lose at West Ham United and Watford lose at Arsenal.
All three teams have a similar goal difference, meaning that a victory for Bournemouth and defeats for Villa and Watford would more than likely keep the Cherries in the top flight, which would be some escape.
Eddie Howe's side will enter this match off the back of successive defeats to Manchester City and Southampton, but they did impressively beat Leicester City on July 12 and are certainly capable of picking up a big result.
Bournemouth will be looking to do the double over Everton, having run out 3-1 winners in the reverse match earlier this season, but they have never won a Premier League match at Goodison Park.
Everton Premier League form: WLDLDW
Bournemouth Premier League form: LLDWLL
Everton will again be without the services of Mason Holgate, Yerry Mina and Fabian Delph for Sunday's contest, while long-term absentee Jean-Philippe Gbamin remains on the sidelines with an Achilles issue.
Ake has been on the sidelines since picking up the issue against Leicester earlier this month, but the Netherlands international will be given every chance of proving his fitness.
Everton possible starting lineup:
Pickford; Sidibe, Keane, Branthwaite, Digne; Davies, Gomes; Walcott, Sigurdsson, Richarlison; Calvert-Lewin
Bournemouth possible starting lineup:
Ramsdale; Smith, Cook, Ake, Rico; Stanislas, Billing, Lerma, Brooks; Wilson, King
We say: Everton 2-1 Bournemouth
Bournemouth are certainly capable of picking up a positive result at Goodison Park, but the Cherries have the third-worst away record in the Premier League this season, while Everton have lost just three of their 18 league games on home soil during the 2019-20 campaign. We fancy the Toffees to collect all three points courtesy of a narrow success, helping to relegate Bournemouth to the second tier in the process.