Robert Snodgrass missed Tuesday night's friendly at Brighton due to a "family issue" which is reported to be a car crash involving his partner.
The 25-year-old Scotland international has become an important player for the Canaries since joining from Leeds last year.
Such performances have seen Snodgrass linked with a summer move to West Ham but Hughton insists such speculation was not behind him missing the 1-1 draw with Brighton.
"It's very simple and I can set the record straight," he told BBC Radio Norfolk. "It's a family issue.
"He will be with us hopefully on Wednesday and certainly on Friday. It's very much a personal issue."
The Daily Record is reporting Snodgrass' absence is related to his pregnant partner Denise McKenzie being involved in an accident in Glasgow.
Snodgrass is thought to have returned to Scotland after the incident, which Norwich have yet to confirm.