Hodgson is very keen on bringing the 25-year-old to Selhurst Park and will monitor how his season develops ahead of the new year.
Arsene Wenger insists he has 'not given up on' Wilshere, but if he continues to play a peripheral role then the former England manager is likely to swoop in.
Hodgson picked only five players more times for the national side than Wilshere, supporting the fact the 70-year-old sees him as an influential player.
Palace have endured a dreadful start to the new Premier League season, losing all four games without scoring a single goal.
Will Hodgson get them back on the right track?