Southgate does not have a Uefa Pro-Licence coaching badge, that you need to have to be a top flight manager in England. His dispensation from the FA runs out on 11 November.
Gibson told The Times: “Gareth is our manager and he will stay our manager.”
“To suggest anything else is ridiculous and a fabrication. We’re in talks with the Premier League, but all we’re thinking about is how to take the club forward with Gareth at the helm.
“After where we we finished last season, we knew it would be difficult this time, but Gareth has got a lot of experience in football and will learn quickly. He already is.
“There’s no disenchantment from supporters and certainly none from me.”