The council, which is made up of 127 members met on Thursday to hear FA executives explain why they are in favour of selling on the organization's prized asset, but it seems they are in opposition.
The main issue of the discussions is to assure the body of ''protections that will be in place to ensure its status as the national stadium and the home of English football.'' According to a statement released on twitter.
However a senior source told the 'BBC' that he believes the odds are marginally against the action taking place due to the strong views of some councillors on the issue.
Cynics are concerned that Khan, who also owns the American football team - the Jacksonville Jaguars, will want to use Wembley as a base for both them and the Premier League club. However he denied these claims.
He wrote to every councillor to say "I owe it to you to be a responsible owner and operator of Wembley Stadium, which under my guardianship will at all times be three things - the national stadium of England, the traditional home of English football, and one of the world's finest venues for sport and entertainment."