The Red Devils' return to Champions League has finally been guaranteed after Liverpool's defeat to Crystal Palace on Saturday.
United's chances of finishing second are pretty low as they are currently five points behind Manchester City, but they have a slightly better chance of finishing third and avoiding the Champions League playoffs.
However, that too will be difficult because, even though United are only couple of points behind Arsenal, the Gunners still have an extra game in hand due to their involvement in the FA Cup.
While United only have six more points to play for, the Gunners have nine.
Still, winning this game against the Gunners would be a big help in their quest to finish third in the Premier League and United will be hoping to do just that.
The last time these two sides met, Arsenal eliminated United from the FA Cup and Red Devils midfielder Marouane Fellaini says that his side will be looking for a revenge on Sunday.
"We want to avenge that defeat now. It will be a good game for the supporters," the Belgian told United's official website.
Despite admitting that United are well aware of the quality in Arsenal's squad, the former Everton man insists that his side will be looking for nothing less than a win.
"Everyone knows that Arsenal have quality players like Alexis Sanchez, Mesut Özil and Jack Wilshere. So we have to be careful, but we have good quality players too."
Fellanini feels that his side are much more confident following their win at Crystal Palace, after losing three games in a row prior to their clash against the Eagles.
"I think it was a very important victory because we needed it. After losing three games in a row, it was vital to win that one," he added.
"Remember, it [Selhurst Park] is a hard place to play – Manchester City lost there and Liverpool too. It is difficult to win there but we did it."
Meanwhile, Arsenal will also be hoping to win this game and increase their chances of finishing second in the Premier League.
The Gunners had been playing very well of late, but their 10-match unbeaten streak came to an end on Tuesday as they recorded a shock home defeat to Swansea City in their last Premier League fixture.
And, Arsenal boss Arsene Wenger insists that his side will be looking to bounce back against United on Sunday.
"We want to finish by going step by step and bouncing back," Wenger told Arsenal's official website. "It's important to bounce back with a positive performance on Sunday."
Arsenal have finished fourth six times in the last 10 seasons and they have faced difficultly in the Champions League playoffs on these occasions, even though they have always managed to make it to the group stages.
And Wenger, who admits that the playoffs cause a lot of difficulties, is hopeful that his side can avoid the playoffs this time by finishing higher than the fourth position.
"It is not the most comfortable situation when you have to go through [Champions League] qualifiers, because now the opponents are more and more difficult because the pre-seasons are shorter and more disturbed by national team games," added the Frenchman.
"We have the opportunity to avoid it so let's do it. We have worked extremely hard throughout the whole season to come back into this position, so now let's take advantage of the hard work that we have done and continue until the end."
Manchester United: De Gea, Valencia, Rojo, Smalling, Blind, Jones, Herrera, Mata, Fellaini, Young, Van Persie
Arsenal: Ospina, Bellerin, Mertesacker, Koscielny, Monreal, Cazorla, Coquelin, Ramsey, Ozil, Sanchez, Giroud
Where to Watch Live
The EPL match is scheduled for 4pm BST (8:30pm IST, 11am EDT), starting with live coverage in India on Star Sports 4 and Star Sports 4 HDin India. The game can also be watched via live streaming online in India on StarSports.com.
Catch the action live in UK live on Sky Sports 1 and Sky Sports 1 HD.Viewers can also watch the game online via live streaming on Sky GO. Catch the game live in the US on NBCSN; the action can also be live streamed online on NBC Sports Extra.
Audiences in the Middle East and North Africa can watch the game via live streaming online on Bein Sports Connect, while South Africa and Sub-Saharan Africa viewers can do the same on SuperSport online. Australia viewers can watch the game on Fox Sports 4 and live stream it on Fox Sports On Demand.