Glen Johnson is a free agent after leaving Liverpool
Johnson was released by Liverpool this summer after six seasons at Anfield.
The Reds spent £18million on the England international in 2009 but he was deemed surplus to requirements by Kop boss Brendan Rodgers.
London-born Johnson, 30, is a product of the fabled West Ham academy.
The Hammers' rivals Stoke are also keen on the right-back as are Turkish clubs Galatasaray and Besiktas.
Nathaniel Clyne - Spotlight on
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Johnson made just 19 Premier League appearances last term and has lost his place in the England squad.
Rodgers moved swiftly to replace Johnson, splashing £12.5m on signing Nathaniel Clyne from Southampton.