Arsenal still have the edge over Everton in the race for fourth spot after beating West Ham 3-1, says Gary Neville.
Everton, currently fifth, can leapfrog the Gunners by claiming a point against Crystal Palace on Wednesday, but Neville told Sky Sports that the Toffees' tougher run-in - which includes games against Manchester United and Manchester City - could cost them Champions League football.
Arsene Wenger's side take on Hull and Everton face United at Goodison Park on Super Sunday, before Arsenal play Newcastle at the Emirates and Everton travel to Southampton.
Roberto Martinez's men then entertain City at home a day before Arsenal face West Brom, while on the final day of the season, the Londoners travel to Norwich and Everton go to Hull.
Neville said securing Champions League football and beating Hull in the FA Cup final on May 17 would represent "a great season" for Arsenal.
"Wenger has to say [Arsenal can win] both and he'll think both," said Neville, who won the Premier League eight times with Manchester United.
"I think, to be fair, the reason people have been hard on Arsenal in the last few weeks is probably because we expected them to do better from the position they were in two or three months ago, when they were talking about the title.
"I think, to be fair, that if they got fourth and won the FA Cup, it would be a great season for them. They haven't been at their best [against West Ham] but they are playing against teams that even if they aren't at their best, they can win.
"Everton have won a couple of games in the last few weeks, against Sunderland away and Fulham where they haven't been at their best. I think that there are games that they've got - Southampton away, City and United - where they are going to have to be at their absolute best to get full points.
"I don't think Everton will get full points out of those games, that's why I still think Arsenal will get fourth. We'll see. But that's where I think Arsenal still have the edge over Everton."
Arsenal fell behind at the Emirates on Tuesday night when Matt Jarvis nodded home from close range on 40 minutes - the winger having earlier stayed on his feet after being clipped by Bacary Sagna in the area on 16 minutes.
No penalty was given and Neville said Jarvis, for all his honesty, had done West Ham no favours.
"He should go down," said the former England defender. "You can either be an angel and do what Matt Jarvis did and you can get a pat on the back off his nan when he goes home, or he can win his team a penalty.
"A professional in the game will say 'you've got to go down'. The referee won't give it if you don't go down. It's a foul.
"I suppose in some ways people can say 'it's disappointing to hear you say that, Gary' - well, be disappointed because ultimately that's the game.
"Sagna comes in, misses the ball, takes him knee high and for some reason Jarvis wants to try and stay on his feet. Well alright, he's done well in terms of honesty.
"If Kevin Friend gives the penalty, it would have been the perfect scenario for football because the best scenario would be if refs give penalties where a player doesn't have to go to ground - but they never do."
Lukas Podolski got Arsenal back on terms before half-time with a well-struck finish after good work by Santi Cazorla, who Neville singled out for special praise.
"I thought Arsenal were lethargic in the first half but every time Cazorla got the ball, he had an urgency about him, looked to inject some pace into the game and was really busy, as he usually is.
"He was the best player - not necessarily in the second half, because Arsenal did quite well in the second half - but in the first half when they were struggling a little bit, he was the one who showed up, who wanted the ball, looked like he was trying to do something."
Podolski wrapped things up with his second 13 minutes from time after Oliver Giroud had put Arsenal ahead with a neat close-range finish and Neville said the striker, who has scored 46 goals in 112 games for Germany, looked far more comfortable playing up front.
"He had a whinge after the game at the weekend [against Wigan], saying that he's being used too sparingly and he wasn't happy being substituted," he reflected.
"But he doesn't do enough. He plays within himself. Every time you watch him play, it looks as though he can do more. It might be a confidence thing - we might be being a little bit harsh on him - because as soon as he scored his second goal, he started to actually run around and make some quick runs in behind.
"He went up front as well and you wonder if he actually wants to play up front and he's actually a bit annoyed at being stuck out on the left wing. Whether that's something that is griping him a little bit... maybe he thinks that with all the talk of Arsenal not having a striker - and he's got a great goal-scoring record for his country - that he deserves that chance up front. He has never been given that shot."
Watch Norwich City v Liverpool, Hull City v Arsenal and Everton v Manchester United in a Super Sunday triple header from midday on Sky Sports 1.