But Dodge, who scored 93 tries in 437 games for Tigers from 1975-1993, said his former captain and Tigers chief executive Peter Wheeler would be his choice.
Dodge, who joined Dusty Hare, Rory Underwood and Sir Clive Woodward in the Walk of Legends when he won the supporters' vote for the inside centre position, said: Who would be my first pick in my Tigers XV? That's a very difficult question to answer.
We have had some fantastic players over the years. I think the problem is you don't realise how good some of the players were in the 1920s and 1930s. There's no record of them on video.
We have really good club men like David Matthews, Graham Willars and Steve Kenney, who played a lot of games and did a lot for the club.
It's a hard question but if I am going from my era then I would probably look at Peter Wheeler. He captained the team when we won the John Player Trophy three times on the trot. He was a very good player, coached and is now chief executive.
Tigers fans have been voting this week for the right-wing slot from Harry Wilkinson, Tony Underwood, John Duggan and Barry Evans in the Leicester Mercury newspaper and website, and the result will be announced on Wednesday.
And supporters can secure their place in the history and future of Leicester Tigers by purchasing an exclusive engraved commemorative brick to add to the Walk of Legends, complete with a personalised message, and see it laid alongside the names of the club's heroes.
Add your own name or celebrate a birthday, or buy a place in the Walk of Legends for a friend or relative as a perfect Christmas gift for a Tigers supporter. We can also supply a replica to keep at home.
Prices are from £44.95 for a single brick or £79.95 for a double brick. You can also collect a £5-off voucher at the next home game, against Perpignan at Welford Road on Saturday (December 6).
Visit the Leicester Mercury website to make your vote. The poll is located two-thirds of the way down the home page.
To download an order form for a Walk of Legends commemorative brick, click here
