The 32-year-old went on a slap on the right knee in a league match on September 25 and was then seen limping with an ice pack against his leg.
A few days later, the star himself confirmed on his Instagram that it was ligament injuries.
"My view is that we players need to be more protected on the pitch to avoid serious injuries caused by risky tackles.
I am motivated to come back as soon as possible ", she wrote on Instagram.
The injury meant that Asllani missed the World Cup qualifier in October.
According to information to SVT Sport, the Real Madrid player has not trained a football pass since the injury.
Her knee is not yet completely healed and the fact that she has not yet trained football should make it unlikely that she will be in the squad for the international matches in November.
According to information to Sportbladet, which was the first to report on Asllani's current situation, she has not trained with the team and, if she is not declared healthy at the beginning of this week, will not be in Gerhardsson's squad.
Sweden plays World Cup qualifiers at home against Finland (November 25) and then away against Slovakia (November 30).