Arsenal have reportedly been informed by Sheffield United that they will have to raise their offer to more than £32m in order to sign Aaron Ramsdale this summer.
The 23-year-old is expected to leave the Blades in the current market following their relegation to the Championship, and Arsenal continue to be strongly linked with a move.
Ramsdale conceded 63 Premier League goals during the 2020-21 campaign, but he was named on England's standby list for Euro 2020 before being called into the full squad due to Dean Henderson's injury.
According to The Times, Arsenal have already had two offers rejected for the goalkeeper, with Sheffield United demanding in excess of £32m for him.
Ramsdale moved to Bramall Lane on a four-year contract last summer, meaning that the Championship club are in a strong position when it comes to negotiating a high fee.
West Bromwich Albion's Sam Johnstone is also thought to be a target for the Gunners, who are seemingly intent on signing a new stopper before the start of the new campaign.