The report claims that West Ham are looking to conclude a £12m deal for Shelvey as they look to bolster their midfield options.
West Ham are, however, keeping their options open and have a list of targets they can pursue if a deal for Shelvey breaks down.
Shelvey, formerly of Liverpool, is known for his excellent array of passing in the middle of the park.
West Ham manager David Moyes believes Shelvey will improve his squad and is insistent on a deal to sign him.
Newcastle will put up a fight to keep Shelvey, as they look to avoid bolstering a rival.