Norway face Slovenia in Ljubljana on November 12 before hosting Kazakhstan three days later and Solbakken has “justified hope” the Gunners captain will prove his fitness in time to be included in their squad.
Odegaard has not featured for Arsenal since damaging ankle ligaments at the start of September during Norway’s Nations League win against Austria.
Solbakken told Norwegian newspaper Verdens Gang: “Everything indicates that (Odegaard’s injury) is going according to plan, then it is about the last steps when you are going to train with opponents and at team training.
“It depends on how he responds to it, but we have a justified hope that he is ready.
“I’ve spoken to him quite regularly. Now that it’s starting to progress, it’s easier, but it’s not fun to be injured. At the same time, he has been very little injured, so it is probably a training matter for him.”
Arsenal boss Mikel Arteta said before last Saturday’s Premier League defeat at Bournemouth that he was hoping Odegaard could return to contention the following week.
Odegaard did not feature in Tuesday night’s home Champions League win against Shakhtar Donetsk, while the Londoners face Premier League leaders Liverpool at the Emirates Stadium on Sunday.