The Gunners are believed to have identified the Morocco international as a leading target, with Alexandre Lacazette widely expected to leave the Emirates Stadium at some stage next year.
En Nesyri has scored twice and registered two assists in six outings for Sevilla this season, while he has struck 32 times in 84 appearances for the Spanish outfit in total.
A recent report claimed that Mikel Arteta's side were keen to sign the 24-year-old in January, but according to Mundo Deportivo, it will take an offer of at least €45m (£34m) to convince Sevilla to sell.
The report claims that the La Liga club are 'calm' about the situation, as the forward still has four years left to run on his contract at Estadio Ramon.
En Nesyri scored 15 times in 53 appearances for Leganes before making the move to Sevilla in January 2020.