But the Blades are under no pressure to sell and want in excess of £25million to part with Ramsdale, who has three years left on his current contract.
The Yorkshire outfit's tough stance has left Arsenal chiefs weighing up other options.
Johnstone, currently on England duty with Ramsdale, has been earmarked as a sensible potential alternative - especially with the Baggies willing to do a deal at around £20million.
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