The Foreign Secretary says that any English clubs that reach the final should boycott it.
The final is almost certain to be moved away from the city because of the crisis.
Russian troops have been ordered to enter two rebel-held regions.
Boris Johnson said on Tuesday that there was no chance of holding football tournaments in Russia.
The UK has introduced sanctions against Russia due to fears of a full-scale invasion.
The host of LBC asked if an English club should boycott the final if it went ahead in Russia. I would boycott it if I were them.
I don't want to be playing in a football match in St Petersburg because of what the Putin regime is doing.
The final of the European club competition is scheduled to take place in St Petersburg on May 28.
Some of the teams left in the competition are from the premier league.
The final should be moved according to a number of political figures.
I would be appalled if the match went ahead.
I don't believe that should happen in St Petersburg. I don't think it is right for Russia to have a football tournament there.
Russian president Vladimir Putin ordered troops into two rebel-held regions in eastern Ukraine this week after he recognised them as independent states.
According to US estimates, Russia has massed around 150,000 troops along the Ukrainian border.
No-one will ever be able to appropriate Ukraine according to Oleksandr Zinchenko.