Dortmund boss Thomas Tuchel confirmed Bartra's four week lay-off but said the former Barcelona player "would like to play now".
The game on Wednesday night finished 3-2 in favour of Monaco but the French Ligue 1 side were 2-0 up at half-time only to see second-half goals from Ousmane Dembele and Shinji Kagawa pegging the German Bundesliga side back.
Borussia Dortmund defender Sokratis Papastathopoulos has said he feels treated like an animal by UEFA.
"UEFA was in touch with all parties on Wednesday and never received any information which suggested that any of the teams did not want to play". "We would have liked more time to take stock". I do not wish this on anyone. "It's hard for the Dortmund players, a player was injured, but UEFA decided that we had to play", he added. We are people who have families, who have kids in the house.
"I think, internally, we have improved our level of security and protection".
'A few minutes after this attack the only question that was asked was: 'Are you ready to play?'
German investigators said Thursday they have found no evidence so far that an Iraqi detained after the Borussia Dortmund bus attack was involved in the bombing, but he is suspected of membership in the Islamic State group.
Tottenham reportedly sent their chief scout to Dortmund's Champions League tie with Monaco with a view to seeing Christian Pulisic in action, according to the Daily Mail.
During the warm-up, Dortmund players wore T-shirts displaying messages of support for their injured colleague Bartra, who had earlier posted a picture of himself on social media with his arm bandaged and giving the thumbs up after undergoing surgery.
Bartra, 26, said he was doing "much better" after the operation. "Who doesn't live this can't understand how big it was for us".