And that decision has led to bemusement among plenty of football fans across the world.
Tufnell previously turned out for the England cricket team and is now best known for being a team captain on A Question Of Sport.
Dawson, meanwhile, won the Rugby World Cup with England in 2003 and joins Tufnell on the BBC’s long-running quiz show.
The Football League say the reason Tufnell and Dawson have been picked to conduct the draw is because they are “British sporting royalty”.
The draw itself will be broadcast live on Twitter.
And Football League chief-executive Shaun Harvey has revealed why that’s the case.
He said: “The EFL prides itself on being innovative and not being afraid to try something new if we believe it has the potential to increase exposure and awareness of our competitions at home and abroad.
“It’s the first time a major cup draw in the UK has been broadcast exclusively live on the social media network and presents us with a rare opportunity to engage with a global fan base alongside being able to continue the debate immediately after the ties are determined.”
Arsenal, Bournemouth, Bristol City, Chelsea, Leicester, Manchester City, Manchester United and West Ham have reached the last eight of the Carabao Cup.
And organisers will be hoping the draw goes without the hitches that have marred the tournament since it was rebranded.
The quarter-final matches are due to be played in the week commencing December 18.
The final will take place at Wembley on Sunday February 25.