Webber has regularly been linked with a Ferrari drive alongside two-time world champion Fernando Alonso over the last few seasons - and Jones said it was something every F1 driver craved.
"Mark has already done one of the two things that most Formula One drivers would like to do, and that's win Monaco — the other one is to drive for Ferrari," he told the Australian Grand Prix website.
"I'm sure he'd have a look at it,"
Jones, who in 1980 was the last Australian to win the world title, said a switch to Ferrari would be the icing on the 35-year-old's career.
"If he goes to Ferrari, it could be a breath of fresh air," he said. "It's very prestigious and something really good to have on your CV. He gets on extremely well with Alonso, so maybe that could be a good way for him to go.
"Personally, I think that Mark is with a good team (but) having said that, if he signed on with Red Bull next year he's still going to have Vettel as his teammate, which is a pretty hard task."
Webber edged himself into contention for this season's world title with the eighth victory of his career on Sunday, at Monaco.
It was his second win in the race and the eighth of his career with Webber starting from pole position and controlling the race almost throughout.
Red Bull team boss Christian Horner played down any Ferrari talk after Webber's Monaco triumph.
"Why would he want to leave?" he asked. "He is comfortable in the team. The team know Mark very well and he knows the team very well."