But manager Viktor Kumykov has tried to play down the pressure of taking the final step to join Europe's elite.
He said: "There is an additional pressure on my shoulders, but it won't be a tragedy for us if we don't qualify for the Champions League group stages.
"The main task was to qualify for the group stage of a European competition and we have achieved this anyway. It may be even better if we don't qualify for the Champions League because in football it is always better when you develop gradually."
Shakhter captain Andrei Finonchenko accepts the visitors will have to weather an early storm in the east end of Glasgow.
He said: "We need to perform at our best possible level because Celtic will go out very hard from the start of this game."