There will be nine Premier league teams competing in Europe next season – up from the usual seven – but things could change in the final weeks of the campaign.
Crystal Palace, who are 12th, would qualify for the Europa League if they win the FA Cup final.
Brentford, Brighton, Bournemouth, and to a lesser extent Fulham, are all vying for eighth spot which might be enough.
The Bees are in eighth, above Albion on goal difference, two points ahead of the Cherries and four clear of the Cottagers.
Brentford boss Thomas Frank, after a 1-0 win at Ipswich, told BBC Sport: “We have got the momentum which is important.
“We are close to finishing eighth which would be the best position ever in the league. We are laser focused on what we can do. We have given very little away but still created a lot.
“We just need to push and enjoy it, the next two games, and then reset our target.”
Manchester United and Tottenham meet in the Europa League final with the winners taking a sixth Champions League spot for English teams next season.