The former West Bromwich Albion and Crystal Palace manager is now odds-on for the job.
Pardew, who West Brom sacked in April just five months after hiring him, has leapfrogged, Chris Coleman (22/1), Steve Bruce (14/1), Sam Allardyce (7/1), David Moyes (11/2) and Claudio Ranieri (4/1) to become the bookmaker's new front-runner for Slavisa Jokanovic's job, at 8/11.
Jokanovic oversaw his sixth successive Premier League defeat as Fulham manager on Sunday, following reports that another loss would result in his sacking.
But, for now at least, the Serbian remains in place at Craven Cottage.
Pardew, 57, enjoyed success at Reading and West Ham United at the start of his career and spent four years at Newcastle United before shorter, less successful, stints at Crystal Palace and West Brom.
Would the former West Bromwich Albion and Crystal Palace manager make a good Fulham appointment?
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