The Strictly Come Dancing stand-in presenter is said to be being lined-up by BBC bosses due to her on screen “chemistry” with Evans.
Ball, 44, and Evans, 49, have known each other since the Nineties. They both appeared – although separately – on Channel 4’s The Big Breakfast and have hosted their own Radio 1 and Radio 2 breakfast shows.
A source told The Sunday Mirror: “The chemistry between Zoe and Chris is perfect. Things immediately clicked into place and there was a lightbulb moment among producers.”
Top Gear producers are reported to be keen to find a female replacement for Jeremy Clarkson, Richard Hammond and James May, who stood down from the show after Clarkson was dismissed by the BBC in March for punching a producer on set.
Top Gear: Who will join Chris Evans behind the wheel?
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Motorbike racer Guy Martin, actor Philip Glenister and presenter Dermot O’Leary have also been tipped to join Top Gear as a third presenter.
A Top Gear spokesperson said: "We do not comment on speculation."
Clarkson, Hammond and May will present a new motoring show for Amazon Prime with a £160 million budget. It has yet to be confirmed when the series will be available on the on-demand service.
Top Gear is due to return to BBC2 in the spring of 2016.
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