The Spanish keeper was in impressive form in the defeat to Manchester City on Sunday, where Hart was left out as he cannot face his parent club, so much so that Moyes is now considering going with him on a full-time basis.
Hart has been between the sticks for the opening third of the season, but his confidence appears to have hit rock bottom and he now faces a spell out of his side which could seriously hamper his 2018 World Cup hopes.
Stoke’s Jack Butland, Everton’s Jordan Pickford and Southampton’s Fraser Forster are all pushing to take his place in the England side, and Hart knows a spell on the sidelines could do big damage to his chances.
Southampton have been boosted by Steven Davis' decision to miss out on international duty to build up his fitness levels.
Watford are reportedly winning the race to sign Fenerbahce's Brazilian midfielder Josef de Souza ahead of the summer transfer window.
Boss Sam Allardyce has revealed that he is a fan of Jack Wilshere but stopped short of admitting that he wants to sign him for Everton.
First-team coach Stuart Taylor is confident that Paul Lambert has the necessary experience needed to keep Stoke in the Premier League.
Sam Allardyce has backed Everton goalkeeper Jordan Pickford to become England manager Gareth Southgate's World Cup number one.
Everton boss Sam Allardyce is an admirer of Arsenal's Jack Wilshere but refused to comment on speculation linking him with a swoop.