David Moyes is keen to add to his squad after a record-breaking first half to the Premier League season and is pushing for a deal with Lingard having been given the green light to leave Old Trafford.
Lingard has made just three appearances for Manchester United this season and played under Moyes during pre-season after the Hammers boss replaced Sir Alex Ferguson in 2013.
Sheffield United and West Brom are also thought to be interested in a loan but the Hammers are in pole position, though it is as yet unclear as to whether they would make a permanent offer or try for a loan themselves.
Before the Hammers can add another loan player this month, either Said Benrahma (Brentford) or Craig Dawson’s (Watford) moves would have to be made permanent as no club is allowed more than two domestic loans at any one time.
West Ham are keen to invest this month following the sale of Sebastien Haller to Ajax for £20million and a striker remains their priority above Lingard, though progress is slow.
Lingard was left out of Ole Gunnar Solskjaer’s squad to face Liverpool in the FA Cup on Sunday and has been on the fringes for some time in Manchester.
The England international was keen on a move to Tottenham last summer, believing that former United boss Jose Mourinho was interested in bringing him to London if Dele Alli had moved on.