The Russian international is currently on loan from German Bundesliga club Stuttgart and has been on fine form for the west London club - scoring five goals in just six appearances since arriving in January.
Pavel Pogrebnyak is 15/4 with Bet365 to score the first goal when Fulham play Norwich in the Premier League on Saturday.
Craven Cottage boss Martin Jol has admitted that he is desperate to hold onto the 28-year-old and continue their working relationship beyond his loan contract which expires at the end of the season.
And Pogrebnyak has expressed his desire to stay at Fulham in the long-term, with negotiations with Stuttgart expected to begin soon.
Pogrebnyak told The Sun: "I need a coach like Jol and would love to stay in England and continue to work with him.
"A conversation with the club's leadership will be held in the near future.
"The English game is faster than in Germany, and there are a lot of battles. But I think I've got used to it."
It is understood that a number of other Premier League clubs are also monitoring the situation, with Aston Villa rumoured to be keen on snapping up the former Zenit St Petersburg man.