Moyes reiterated his desire to bolster his central midfield options and moved to defuse speculation surrounding moves for Batshuayi and Andy Carroll, who was linked with Chelsea.
Everton manager Sam Allardyce is keen to remedy his side's troublesome left-back issue before the close of the window.
Midfielder Joao Mario has turned down a move that would see him join West Ham United on loan from Inter Milan.
Dennis Wise has warned Chelsea that West Ham United forward Andy Carroll is not the answer to their current goal-scoring woes.
Antonio Conte is keen to sign Andy Carroll from West Ham United in January as he seeks an alternative avenue of attack. Morata is currently the first choice striker.
Nigel Reo-Coker has urged West Ham United to keep hold of Andy Carroll despite interest from Chelsea in the England forward.
Conte is keen to sign a striker in January and has identified Carroll as a potential target. Chelsea's pursuit for a striker is delaying Batshuayi's desire to leave on loan.
Wilshere's career has been hampered by injuries and he was left out of the England squad for the friendlies against Germany and Brazil in November.
Chelsea are rumoured to be keen on a short-term loan deal for Andy Carroll, but West Ham assistant manager Alan Irvine does not believe that such an offer would be entertained.
West Ham forward Andy Carroll is reportedly intent on a loan move to Chelsea after the Blues recently displayed interest in the Englishman.
Assistant manager Alan Irvine says West Ham have not approached Everton over Tom Davies and insists that striker Diafra Sakho still has a future at the club.
Blues boss is also keen on Red Star Belgrade's Richmond Boakye and Crystal Palace's Christian Benteke.
Davies has featured in 20 Premier League matches this season, starting 11, but has not managed to replicate his encouraging performances from last season.
Bournemouth have set a £15m asking price for Republic of Ireland international Arter but West Ham do not want to pay over the odds.
Sporting director Max Eberl hopes no other clubs swoop in with a January offer for West Ham centre-back Reece Oxford as Borussia Monchengladbach look to negotiate a permanent deal.
'I won't forget this': Chelsea manager Antonio Conte has no regrets over personal Jose Mourinho feud
Chelsea boss Antonio Conte says he has no regrets over his comments about Manchester United counterpart Jose Mourinho, insisting he would not forget his rival's "serious words".
Arsenal midfielder Francis Coquelin has been linked with moves to Valencia and West Ham United, but Wenger ruled out the possibility of his compatriot joining David Moyes' side.
Blues boss Conte thinks his side have taken advantage of a "good opportunity" in buying Barkley, whose move will be finalised by the end of the week.
David Moyes is looking to aid West Ham's Premier League safety bid by securing deals for players capable of making an immediate short-term impact.
West Ham United striker Andy Carroll failed to start even a single game in the month of December. He has already expressed his frustration of sitting on the bench.
David Moyes' side frustrated the host for long spells and took the lead through Obiang's rasper, but Son's beauty levelled proceedings late on.
Mousa Dembele is available for Tottenham's latest London derby clash with West Ham, while Harry Kane should return to the starting XI after his second-half cameo at Swansea.
The lingering uncertainty surrounding the future of manager Mark Hughes is likely to have a significant impact on Stoke's January transfer business.
Diafra Sakho and James Collins both missed West Ham's 2-1 win over West Brom due to injury, while Aaron Cresswell was substituted after aggravating a back problem.
Did Nike - Barcelona's kit manufacturer and sponsors of Philippe Coutinho - move too soon on the Liverpool star's proposed move to Barcelona or were they hacked?
Michael Manuello is due in London this week for crunch negotiations over Giroud's future at the Emirates Stadium.
Javier Hernandez and Tammy Abraham were 'ready to come in' to Newcastle United, reveals Alan Shearer
Javier Hernandez eventually moved to West Ham United on a permanent transfer, while Tammy Abraham joined Swansea City on loan from Chelsea.
West Ham boss Moyes is keen to add quality to the centre of his midfield, with Bournemouth's Harry Arter and Schneiderlin under consideration.
Manchester City reached 101 goals for 2017 after beating Bournemouth while West Ham lose to relegation-threatened Newcastle.
Danny Ings has returned to full fitness since recovering from two lengthy injury setbacks in the last two years. He has made two appearances in the Premier League this term.