Neil Lennon is convinced his side can win on the road to further boost their chances of making it back-to-back last 16 appearances for the Parkhead club.
If the Hoops boss is proved right when his side travel to Holland, at least one Dutchman will not be surprised.
Former Celtic, Feyenoord and Sheffield Wednesday winger, Regi Blinker, reckons Ajax will still be reeling from their defeat at Parkhead when the teams meet again on matchday four.
He said: "I can see Celtic beating Ajax, and then the two other games (home to AC Milan and away to Barcelona), they are unpredictable."
With so much on the line, Blinker knows it is only results which matter from this point in.
Frank de Boer left Glasgow claiming his side did not deserve to lose on Tuesday, and Blinker reports the Ajax coach got plenty of sympathy from his countrymen. But, he says that, with so many players missing, Lennon got his tactics spot on.
"The pundits were saying Ajax were playing better football, but my opinion is that better football won't get you results every time," Blinker insisted.
"I saw a reasonably good Ajax team who were passing the ball around and playing like a Dutch team should play. Then I saw a real, effective Celtic team that scored in two crucial moments.
"I saw the way Celtic played and I liked that better. There was a longer ball played up front, then they could run there with James Forrest and Georgios Samaras - because it was more effective."
Blinker said Celtic were much more aggressive physically and added he was also very impressed with the display of fellow Dutchman, Virgil van Dijk.