Nir Biton, sent off 11 minutes after coming on as a substitute in the home game against the Dutch on October 22, has been banned for two matches.
Manager Neil Lennon had expressed his hope that the Israeli midfielder would only have to sit out one match for his late tackle on Thulani Serero.
With skipper Scott Brown failing in his appeal against the additional two-game suspension given to him for his kick at Neymar during the match against Barcelona on matchday two, ruling him out of both ties against Ajax and the home game against Milan on November 26, Lennon wanted to have Biton as an option for the central midfield role.
But, on top of the automatic one-game ban, Uefa's Control and Disciplinary Body handed the 22-year-old an extra one-match suspension.
Celtic can appeal this decision, but Uefa have confirmed that, as yet, the club have given no indication they plan to challenge the ban.
The case to consider the behaviour of Ajax fans during the match at Parkhead is scheduled to be heard by the Control & Disciplinary Body on November 21.
Hoops chief executive Perter Lawwell has called on the club's supporters attending tomorrow's match to uphold Celtic's good name throughout their time in the city and in Amsterdam Arena.
Brown and the injured Adam Matthews are scheduled to fly out with the squad today to lend their support to the players Lennon will pick for tomorrow night.
The Hoops boss confirmed: "Scott is coming with us, and I think Adam Matthews will, as well."
Asked if the captain still had a role to play, even though suspended, the manager said: "Why not? It's always good to have Scott there.
"He is very encouraging and very good in the dressing room, and he will do a bit of training while he is there."
The manager will check on the condition of Kris Commons and Georgios Samaras, who were missing at the weekend, and how Joe Ledely and Derk Boerrigter came out of the game before he names his side to face Frank de Boer's struggling outfit.
"That was another good 70 minutes for Joe Ledley on Saturday," said Lennon.
"Derk has come back, Kris Commons and Georgios will be back, James Forrest got another 90 minutes, which was good, and we rested Beram Kayal, which was good."
Lennon is aware that opposite number, Frank de Boer, will have his players fired up for what he has described as a must-win game.
But he can sense a determination and confidence in his own squad and said: "We have got to believe that we can get the result we want tomorrow, otherwise there is no point in turning up.
"We will have to be positive, and to get something out of the game would give us a great chance in the last two games."