Fulham currently sit in the Premier League relegation places, with just 4 points from 6 games. They have not won in the league since the opening day of the season, when they defeated fellow strugglers Sunderland by the odd goal.
Billionaire Shahid Khan acquired Fulham in July, and has only given Jol qualified support ever since.
Khan has already given one main man the boot since his arrival at Fulham - last week arranging for the controversial Michael Jackson statue to be removed from its place behind the Hammersmith Stand (where it's been since April 2011) and returned to former club owner Mohammed al Fayed.
Among the favourites to replace Jol as Fulham manager are thought to be former Stoke boss Tony Pulis and former Manchester United assistant coach Rene Meulensteen.