The Portuguese coach’s side has failed to win any of their opening eight league games and sit at the bottom of the table.
Despite a strong finish last season, earning six consecutive wins and a Manager of the Season nomination, Pereira has struggled this term.
Wolves chairman Jeff Shi emphasized the need for stability, but former Manchester United scout Mick Brown claims a decision will likely come during the November international break.
"There will be a concern for Wolves right now if they don’t improve, they could find themselves cut adrift and when that normally happens you see a potential managerial change happening,” said Brown.
“Obviously, they’ve got Chelsea in the Carabao Cup, Fulham then away after the Burnley game is a tricky one, then Chelsea away.
“So there are some difficult looking fixtures after the Burnley game for Wolves and Vitor Pereira. And then we’ve got the international break, and that could be the time if things haven’t improved.
“If they haven’t picked up too many points in those next three Premier League games then you can possibly see the pressure really being on Pereira.
“When you get the international break, it gives clubs the opportunity to assess things, and the fears could be there that they could make a change in the hot seat at Molineux."
Pereira’s next four matches include Burnley, Chelsea (Carabao Cup), Fulham, and Chelsea again.