The south coast club are likely to require a caretaker boss to oversee pre-season while Poyet appeals against his dismissal.
McGhee, who managed Albion for three years until 2006, still lives close to the Championship club's Amex Stadium.
He is currently Gordon Strachan's right-hand man with the Scotland team.
However, he told local newspaper The Argus: "I still have contact with people at the club.
"I am here and available and if they wanted me for a couple of weeks without prejudice then absolutely, I would be willing to help them."