The Brazilian was rated doubtful for the tie in Denmark after picking up a thigh strain in last weekend's defeat to Portsmouth.
However, the skilful attacker has returned to training and City boss Mark Hughes expects him to feature in Copenhagen.
"He [Robinho] trained yesterday so we don't anticipate there will be any problems," Hughes told the Sky Sports News.
City welcome back Richard Dunne and Shaun Wright-Phillips for the trip to Denmark after they were ruled out against Portsmouth because of suspension and Hughes is delighted to have the pair available again.
"It gives us more options. I think it's important we have got a good strong squad that will give me lots of variation and we will pick a team that we think will win the game.
"The idea obviously is to get a positive result and that will help in the second leg we hope.
"They are a good side, in fairness, they are a big strong side as you would imagine.
"The fact they are on their winter break at the moment may be to our advantage so we will look to make sure we take it."