The Hammers have had Carl Jenkinson on loan from Arsenal for 18 months now, but given his poor form this season, Slaven Bilic's men may pursue a more long-term option at right back.
James Tomkins can play there, but signing a natural right back on a permanent basis has to be a priority for the Hammers - and it seems that they are looking to address the position this month.
The Telegraph report that West Ham are lining up a cut-price deal for Leeds United star Sam Byram, who is out of contract at the end of the season.
Byram, 22, has hit three goals and an assist in his last four games, and is beginning to thrive under Whites boss Steve Evans, despite the confusion surrounding his future.
With less than six months left on his contract at Elland Road, Byram looks set to leave the club either this month or at the end of the season, with Leeds no doubt considering cashing in on him before he walks away in the summer.
West Ham will be hoping to capitalise on that, offering Essex-born Byram a potential move to Upton Park in January as the club allegedly line up a cut-price transfer, with Bilic's men supposedly seeing him as having the same impact as left back Aaron Cresswell.
Given his recent form, Leeds won't be letting Byram leave for peanuts, but West Ham should have the funds to tempt them into a deal before the end of the transfer window.