The Hammers are set to do a deal to bring in the former Sheffield United star as a free agent.
Foderingham is now 33 and is someone who the club will use as an experienced backup.
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Manager Julen Lopetegui, per The Athletic, wants to use him as his second or third choice.
West Ham do have Alphonse Areola (31) and Lukasz Fabianski (39) on the books as well.
The club are hoping to secure at least three more signings after Foderingham in the coming weeks.