The decision has already been made to stop Russia from hosting the 2022 Champions League final, with the showpiece event now being held in Paris instead of St Petersburg's Gazprom Arena.
Spartak Moscow are the only Russian side still in European competition this term as they continue their progress in the Europa League after being drawn against RB Leipzig in the competition's last-16.
Elsewhere, the Russian national team are still in contention to feature in this year's World Cup in Qatar, as they prepare to face Poland in a qualifier in March.
While both Spartak Moscow and the Russia national team are currently still scheduled to be involved in the UEFA and FIFA-run competitions, Simon Jordan believes that both should be banned in order to ensure sport follows suit with the other corners of the Western world.
His comments came after Formula 1 made the big call to scrap the Russian Grand Prix on Friday over the ongoing turmoil, with Russian forces reaching the Ukrainian capital of Kyiv.
The former Crystal Palace owner also believes football has to follow F1 in other ways, after the Haas F1 team stripped their car's livery of their Russian sponsors, amid calls for UEFA to take a stand over their sponsorship from state-owned Russian energy giants, Gazprom.
Speaking on talkSPORT, the White and Jordan host said: "I think it's unarguable. Even people like me who are entrenched in the position that politics and sport don't mix, there are exceptional circumstances.
"This is not a debate. UEFA need to stand down Gazprom and not have them being endorsed on any screens.
"They need to stand down the Russian teams. They need to stand down their participation in the World Cup."
Asked whether Spartak Moscow should be booted out of the Europa League, Jordan responded: "Absolutely."
"What sport should be doing is lockstepping behind the landscape of what everybody else is doing. That's the landscape of shutting everything down.
"If Aeroflot can't fly to the UK, then Russian teams can't play in European tournaments.
"It's not a case of the political landscapes and this being one of the exceptions to the rule, we are in a situation in the West where an aggressor can't behave in this way and sport can't be out of step.
"Sport can't be out of step with what's going on in society.
"We talk about sport reflecting society and we talk about societal behaviour manifesting itself in sport, sport is not an exception.
"If sport does not fall in line in this instance then sport makes itself an island, which is a ridiculous one to be on.
"F1 has to step down from the Russian Grand Prix, the Russians have to be taken out of the World Cup.
"None of this going to make much of a difference to Vladimir Putin because sanctions aren't going to stop him from what he is doing, but let's not make it any more palatable for them. Let's make it as unpalatable as we can.
"Isolation is a very dangerous policy, but it is where we are now."