Dundee United boss Peter Houston is the front-runner to succeed Michael Appleton at Bloomfield Road after the SPL side gave him permission to open talks on Tuesday.
"I'm as ready as I'll ever be to be a number one," said Thompson, who was also placed in temporary control when Ian Holloway left to take charge of Crystal Palace in October.
"I've got a healthy relationship with the players. People say I'm close to the players - I am close.
"On the back of being close I've got two promotions and a play-off final.
"I work on those training pitches for as long as they want to do but I'm not their mate. I go out there to coach and to make them better players.
"That's Steve Thompson. Whatever happens, I'll give this club my best shot whatever role I'm in."