Nuno Santo's men stormed to the title in the Championship last season and they have made a host of signings this summer to help them stamp their authority on the top flight.
Here's a look at the likely XI that will start their first Premier League match since 2012.
1. GK - Rui Patricio
A European Championship winner with Portugal, Rui Patricio has proven himself as one of the best goalkeepers in Europe over the past few years and now has the chance to impress in the Premier League for the first time with Wolves.
The 30-year-old has a lot of weight upon his shoulders to perform, but he has already proven that is more than capable of minding his goal comfortably.
2. CB - Conor Coady
Club captain Conor Coady was very impressive for Wolves during their promotion push last season and is expected to marshal the back line again this season.
He is now a fully converted centre back after starting out as a midfielder and he now has the chance to prove that Liverpool were wrong to let him go back in 2014.
3. CB - Willy Boly
After a very successful loan spell from Porto last season, Wolves opted to shell out for Willy Boly to bring him in on a permanent basis.
A towering presence at the back, he needs to perform well if Wolves are going to get anything out of this clash.
4. CB - Danny Batth
Leander Dendoncker will be expected to take up one of the centre back places once he settles in at Molineux, but since he only signed on transfer deadline day he is unlikely to feature in this one.
Long term Wolves man Danny Batth will be the player to fill in alongside Coady and Boly and you can be assured that he will put in a serious shift.
5. RWB - Matt Doherty
With Nuno Santo preferring to play with three at the back, he will need Matt Doherty to provide the width on the right flank, providing support both defensively and offensively.
Doherty was very impressive last season and he featured in 45 of their 48 league matches.
6. LWB - Jonny Castro
Jonny Castro joined Wolves on loan from Atletico Madrid earlier this summer, just a month after moving over from Celta Vigo.
The 24-year-old earned a lot of praise for his performances in La Liga last season and he'll be looking to impress both his current employers and his parent side.
7. CM - Joao Moutinho
There is a lot of excitement about Joao Moutinho and for good reason. Another member of Portugal's Euro 2016 side, Moutinho was one of the bargains of the summer at just £5m from Monaco.
He is oozes class in midfield and he will be looking to get on the ball as much as possible.
8. CM - Ruben Neves
Alongside Moutinho, Ruben Neves should flourish even more than he did last season. The youngster proved that he was far too good to be playing in the Championship last season and his highlight reel demonstrates that he is capable of producing some magic.
It will be very interesting to see how he manages the step up to the Premier League and Everton will prove to be an immediate test of his credentials.
9. RW - Ivan Cavaleiro
Adama Traore was brought in to provide some competition at right wing, but similarly to Dendoncker it will be unlikely that he starts against Everton.
Cavaleiro is more than capable of starting this one with a very impressive Championship campaign under his belt and he could cause the Everton defence some serious problems.
10. LW - Diogo Jota
Yet another player who looked far too good to be playing in the second tier last season, Diogo Jota was brought in on a permanent deal after a very successful loan spell.
He scored 17 goals in the Championship during 2017/18, which is very impressive considering he isn't an out and out centre forward.
11. ST - Raul Jimenez
Fresh from featuring for Mexico at this year's World Cup, Raul Jimenez has been brought in on loan to lead the line for Wolves this season.
He has never been a prolific striker at any of the clubs he has played for so he will have to get off to a good start if he is to win over his doubters this year.