Commons turned up at the Scots' hotel on the outskirts of Glasgow on Monday morning with a foot injury sustained in Sunday's SPL win over Aberdeen at Pittodrie and then returned to Lennoxtown for treatment.
Commons has not ruled himself out and will report back to Craig Levein on Tuesday but Thompson does not believe the game merits taking any chances.
"I think the important word is friendly," he said. "Had it been a qualifier for Scotland then it puts a different slant on it.
"But with it being a friendly, we would much prefer him to be rested and try to get him right for the weekend, which will be touch and go, I would think."
Celtic are still coming to terms with the injury to defender Emilio Izaguirre, who broke his ankle at Pittodrie.
The Honduran left-back, 25, was taken off early in the first half after a challenge from Dons winger Peter Pawlett.
A statement on Celtic's website claimed that Izaguirre could be out for up to six months but Thompson was not so pessimistic.
At Celtic Park where he was helping publicise Tuesday night's Celtic legends versus Manchester United legends match in aid of an East African charity, he said: "Emilio came back to Glasgow after the game, he is at home and they are waiting on the final tests to see what needs doing.
"We are still waiting on the timescale. That will probably depend on the surgery and how it is when they open him up.
"Even if it is a short-term injury it is a blow but it is looking like it is going to be mid to long-term.
"Initially we didn't think much of it but we watched the DVD afterwards and you can see it is clearly a bad one.
"But it was a perfectly good tackle from the boy, there was no malice and no intent."
Asked if a replacement left-back would be targeted, the Englishman replied: "It is something that we have to look at.
"We have Charlie Mulgrew, obviously, who is more than capable but if anything happens to Charlie we are a little bit bare."
Thompson was joined by former Celtic and Manchester United striker Dion Dublin who suffered from several injuries during his career, including a leg break.
The former England player insists Izaguirre will just want to be left alone to come to terms with his injury.
He said on Monday: "I heard Alan said that he (Izaguirre) is going to get some visitors today but the last thing you want is visitors.
"You don't want anyone around you, you want to take in what's happened and get it over yourself first of all.
"He will be in pain, mentally as well as physically and he will not want to explain that to people time after time after time.
"Having been there I would suggest to leave him for four or five days."
Dublin, who played for Celtic under Gordon Strachan in 2006, is looking forward to playing in front of the Hoops fans again.
He said: "I am looking forward to the noise and atmosphere as much as anything else."