Webber is being lined up as a lead judge or mentor on a Saturday night TV show hosted by Graham Norton, reports The Sun.
An insider said: "Millions of Brits watch the Eurovision but always leave disappointed that we’ve done so badly.
"So next year we’re going all out. Graham’s been drafted in to host and Lord Andrew will give his important input, possibly as part of a panel or as a mentor.
"There is likely to be a public voting element to it as well. Next year really could be the year Britain comes out on top."
Eurovision bosses yesterday announced that juries are to be reintroduced to the competition in a bid to stamp out tactical voting.