The former Leicester Tigers and England prop, who toured New Zealand with the Lions, hung up his boots at the end of the season.
He is already pursuing a career in cattle farming on the Leicestershire-Northamptonshire border.
But he admits he would be tempted if a part-time coaching role came his way.
"I would like to (coach) but I am not a great one at putting my name forward," White told the Leicester Mercury.
"If someone approached me and asked if I would be interested in helping out part-time, then I would think about it.
"But there are lots of people retiring who are going on to be coaches now - and not everyone of them is going to be good at it.
"My family and the farm are my priority now but, if I could do something else, I would really enjoy that now that I have retired from playing.
"We will have to wait and see what comes along."
White's former front-row colleague Richard Cockerill, director of rugby at Leicester, reckons his vast knowledge would be invaluable to young players.
"Whitey has played over 50 times for England and has played in the hardest position on the field," said Cockerill.
"The only way you learn about playing in that position is by doing it. And to lose the knowledge that Whitey has of doing that would be a shame.
"Whether that is what he wants to do and how much time he may have to do it would be a different matter.
"He certainly has good knowledge and, as a scrum coach, that knowledge is something that could be tapped into.
"Whitey would get his message over to people well.
"He did that last year and if there was an opportunity for him to do that somewhere, then it would be a shame to lose that knowledge.
"At some time, we may tap into that but we will see.
"It was hard enough getting him here one day a week at times!"