The Hoops are chasing a domestic treble as they top the Clydesdale Bank Premier League, play Inverness in the Scottish Cup quarter-final on Wednesday and meet Rangers in the Co-operative Insurance Cup final on Sunday.
But manager Neil Lennon's backroom staff - Thompson, Johan Mjallby and Garry Parker - are all on one-year rolling contracts and their futures are currently undecided.
Thompson said: "We are contracted here until June. Beyond that nothing has been said or done. So we just have to wait and see what is going to progress.
"We are just concentrating on the job in hand and enjoying it out there. It is up in the air but the thing is we are enjoying our jobs.
"We are working for a fantastic club - long may that continue. We have to see how things progress. Hopefully, it'll be a football decision and that'll be it."
Source: PA
Source: PA