The Cottagers slumped to an embarrassing 4-0 defeat away at Liverpool on Saturday and, with just one win in their last 10 league games, they now sit five points above the drop zone.
Moreover, despite their decent start to the campaign which saw them settle comfortably in the top half, Jol has warned that the gap between them and the strugglers below is lessening by the week and that results need to pick up soon or they could be in some serious trouble.
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"We wanted that win last week against QPR but I don't think we were good enough.
"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."
Fulham host Nigel Adkins' Southampton side at Craven Cottage on Boxing Day before welcoming Swansea at home on the December 29, as they seek to put an end to their recent rotten run.