West Ham boss David Moyes will be desperate to bolster his ranks at the London Stadium this month, with just a couple fo points separating them from the drop zone.
The Scot has already highlighted the imbalanced squad that he has at his disposal, with a central midfield player thought to be at the top of his January wish-list.
Newcastle star Shelvey is one of Moyes' prime targets, according to the Express, who claim that the Hammers are closing in on a £12 million deal to sign the boyhood West Ham fan.
Cottee believes he would be a great signing for the east London outfit.
"I'd like to see Jonjo Shelvey join the club to replace Mark Noble. He's a big West Ham fan so it would be a match made in heaven. He is a player who can link defence and attack with penetrating passes, getting more from our strikers."
The 25-year-old would undoubtedly help the Hammers improve upon the fluidity of their play through midfield, and Rafa Benitez might just be tempted to sell him, in order to fund a spending spree of his own.
With the January transfer window now open for business, this will be one for Hammers fans to keep a close eye on.