The Gunners already added Matt Turner, Marquinhos and Fabio Vieira to their squad before announcing the arrival of Gabriel Jesus.
Mikel Arteta is still keen to make further additions, but players may have to leave to free up funds for new signings.
According to The Sun, Arsenal are trying to offload up to seven players this summer in a bid to finance future transfers.
The Gunners are looking to sell Hector Bellerin and Lucas Torreira, who spent last season on loan at Real Betis and Fiorentina respectively.
Bernd Leno could also depart amid links with Fulham, while Nicolas Pepe and Pablo Mari are expected to leave the Gunners this summer.
Ainsley Maitland-Niles and Reiss Nelson have returned to the club after spending time away on loan, but Arsenal are also aiming to offload the pair in the current transfer window.