Formula E boss bets $250,000 on Max Verstappen taking Formula 1 title again
Red Bull won 21 of 22 races last year in the most dominant of campaigns while Dutch driver Verstappen took a record 19 victories.
Red Bull have also won 38 of the last 44 races.
"Unless he's injured or something crazy happens, 99% he (Verstappen) gets that trophy," Dodds said in an interview with TNT Sports.
"If any one of the other 19 drivers wins it (the F1 championship), we’ll give a quarter of a million dollars to the charity of choice of the other driver that wins it.
"It wouldn't be the worst day in the office to give a load of money to charity. But absolutely he is nailed on to win that season."
All-electric Formula E has proven less predictable than F1, with three different winners in three races so far in the 10th season that started in January, but attracts a far smaller audience.
France's double champion Jean-Eric Vergne is the only driver to win more than one Formula E title since the city-based series started in 2014-15.
"If (McLaren's) Lando (Norris) wins, we'll go and visit him and give him a quarter of a million dollars for his charity. Absolutely, no questions asked," said Dodds, who took the helm of the electric series last June.
Verstappen set the pace on the first day of Formula 1 testing on Wednesday, with the season starting there on March 2nd.
Dodds said Formula E was on a rapid development curve and getting faster and faster.
"You're going to see acceleration in these (future) Formula E cars that leaves every other motorsport pretty much for dust," he said.