The 76-year-old was absent from Villa Park on Saturday as Palace threw away a late 1-0 lead to suffer their second Premier League defeat of the season, going down 3-1 in Birmingham.
A club statement before kick-off read: “Unfortunately Roy Hodgson was taken unwell earlier today and is not at Villa Park. Roy is in contact with Paddy McCarthy, who will take the team today assisted by Ray Lewington.
“Roy sent his best wishes to the team ahead of the match. We send our very best wishes to Roy.”
However, Hodgson was back in charge of first-team training on Tuesday and is expected to return to the dugout when Palace host Fulham in a London derby at Selhurst Park on Saturday.
“We are delighted to confirm Roy Hodgson led Crystal Palace training today”, Palace announced.
“The manager was absent from Saturday’s match at Villa Park but will return to the dugout for Saturday’s match against Fulham at Selhurst Park.”