It is widely thought that the upcoming double-header against the Dutch side represents Celtic's best chance of getting points on the board to rescue hopes of reaching the last-16 for the second successive season or, failing that, a place in the Europa League.
However, speaking at Celtic Park where he was helping to launch a book about the former Celtic player from the 1930s, Malcolm McDonald, the ex-Hoops midfielder and assistant manager addressed the growing assumption that Ajax will be the easiest home group fixture for the Scottish champions.
He told Press Association Sport: "It is easy to say that because everyone knows the quality of Barcelona and AC Milan.
"People are thinking Ajax will be third best of the three but sometimes when you know the opposition (it is different), Celtic knew Barcelona and they handled them really well.
"Whereas Ajax will be fresh, they will be looking forward to playing here in a fantastic atmosphere, so they will possibly play as well as the other two teams.
"They have always been one of the top European clubs but I think people are looking at them and thinking that they are maybe the weakest one in the group.
"But I think they might surprise a lot of people when they turn up here at Celtic Park, they will still be a good football team.
"They have lost a couple of top players in the window but I still think it will be a tough game."