West Ham are keen on Middlesbrough’s Darren Randolph and have also been offered the chance to take Asmir Begovic on loan from Bournemouth as they look to strengthen their options in goal.
Randolph was previously at West Ham for two years until signing for Middlesbrough in 2017 but has been out of the side since November due to injury.
Begovic has been on loan at Qarabag during the first part of the campaign but is understood to want to return to England for the rest of the season, preferably the Premier League.
Another six-month loan at Qarabag is still an option for the Bosnia-Herzegovina stopper, but there is also interest in him from a number of Championship clubs.
West Ham manager David Moyes is in the market for a new keeper this month with number one Lukasz Fabianski recently returning to the side after injury and question marks over deputies Roberto and David Martin.
How to follow the January transfer window
Sky Sports will bring you the very latest news from the January transfer market with the return of three shows.
Start your day with Good Morning Transfers at 9am as our team of reporters bring you the latest news and insight. Transfer Talk then follows at midday delivering analysis of the biggest stories. Then join us at 7pm for the definitive round-up of the day's news with The Transfer Show.
Meanwhile, the Transfer Talk podcast will also be back at the turn of the year with more expert analysis from here and across the continent.
And as well as tuning into Sky Sports News, don't miss a thing with our dedicated Transfer Centre blog.