The 24-year old defender is preparing for the African Cup final with Nigeria who meet Burkina Faso on Sunday and may only return to Glasgow less than 24 hours before the Champions League Round of 16 first leg.
Hoops boss Lennon would love to have Ambrose in his starting line-up but is aware that his national team duties may take priority.
"Nigeria did fantastically well and Efe has played brilliantly in the game so I'm delighted for him in one way, but obviously very frustrated in another,” he told Celtic TV.
"The final is on Sunday and he probably won't get back until Monday evening, so he would be a doubt.
"We will get him into the squad and see how he is feeling."