The club may sell the duo as they may also take excessive demands in their salary following Mesut Ozil’s new £350,000 per-week-deal.
The German signed a new contract at Arsenal last week and became the highest paid player in the club’s history.
Pierre-Emerick Aubameyang, who is a new signee for the club becomes the second with £180,000-a-week.
Those deals have also ruined the wage structure at Arsenal as there are fears in management that the players whose contracts are up for renewal may make unreasonable wage demands.
Ramsey is Arsenal’s top scorer and has greatly impressed this season. Welbeck, on the other hand, has been struggling this season due to a number of injuries.
Arsenal may opt to sell the pair to avoid having the same situation they had with Sanchez and Ozil.