The Cottagers lost a number of key players during the summer but begun the season surprisingly well.
Things, though, have taken a turn for the worse of late and Jol has only led his side to one victory in their previous 10 matches.
That poor form has seen them plummet in the table and the Dutchman knows they need to improve in the coming games, starting when Southampton visit Craven Cottage on Boxing Day.
"We wanted that win last week against QPR but I don't think we were good enough," Jol said.
"Against Liverpool we didn't show our strength and hopefully we can pick up the points not because it is a vital game for us. It is a vital game for them as well.
"We are in a good position, we have got a good cushion but if we don't pick up the points in the next week or so then we're really in a relegation battle with other teams."
- Sports & Recreation