Odegaard picked up a knee ligament strain in victory over West Ham earlier this month.
"It's tricky to set a return date with this type of injury because, especially it being my left leg, a lot depends on how it goes when I start getting back on the pitch," said Odegaard in his match programme notes for last night's Champions League win against Atletico Madrid.
"Sometimes it can be quite sore when you start passing the ball and shooting and all these things with that leg, so it’s really hard to say a date.
"All I can say is I'm progressing really well at the moment. I think we will know more when I start getting back on the training pitches and we'll see how that goes. If that goes really well then it can be quick.
"It was a knee-to-knee contact in the West Ham game, and at the time I didn’t know if it was bad or not because they can be quite painful, but normally you can run it off. So that's why I tried to keep going, to see if it was getting better.
"I was hoping it was just a knock that would improve in a couple of minutes. But it didn't get better and I felt like something was wrong, so in the end it was better to come off.
"As soon as we got inside, the medical team had a proper look at it. When the adrenaline stopped flowing and it settled down a bit, then it was quite sore."