The Scottish manager has gone a long way to securing the club’s status thanks to the recent 3-2 victory over Chelsea and the 2-2 draw with Newcastle United.
The expectation is that he would this time be allowed build on survival, unlike in 2018 when he was replaced by Manuel Pellegrini, and that has led Moyes to look to one of his former clubs.
Moyes worked with Jones and Lingard at Manchester United in 2013-14, and particularly sees the centre-half as an option that could lift his team’s quality.
Ole Gunnar Solskjaer is meanwhile hoping for a clear-out this summer, with both Jones and Lingard expected to go.
One issue is that Jones signed a new four-year deal last year, although it has become clear his opportunities will be limited.
The same is likely for Lingard, who is understood to now want to stay.
There would likely be more competition for the midfielder, with West Brom and Everton also understood to be interested.
Join our commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies