Allison is the only confirmed returnee from the Liverpool injury list, though Naby Keita will be assessed ahead of the 12.30pm BST kick-off at Craven Cottage.
Newly promoted Fulham are expecting to be without Nathaniel Chalobah and former Liverpool player Harry Wilson for the contest.
Offering an update on Friday, Jürgen Klopp told reporters: “Ali [is] fine… Naby is ill, but I think he will be back today the first day.”
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“I underestimated it a little bit when I said he will definitely be fine. He came in yesterday and still showed some little symptoms, no COVID but it is not right. I guess he will be back today.”
Ibrahima Konate, Curtis Jones, Kostas Tsimikas, Diogo Jota and Caoimhin Kelleher remain sidelined through injury.
But James Milner could make his 200th Premier League appearance for Liverpool, while Thiago Alcantara is one away from bringing up his half-century.
Meanwhile, the 2021-22 Championship winners added Shane Duffy to their ranks on Friday after completing a season-long loan from Brighton & Hove Albion.
The defender joins Bernd Leno, Andreas Pereira, Kevin Mbabu, Joao Palhinha and Manor Solomon as summer arrivals.
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“I think it’s the best way to start,” Fulham boss Marco Silva said. “The main thing for us is to play at home, be back in the Premier League with our fans with us.
“To play against one of the best teams in the world, one of the best teams in the Premier League, I think is a fantastic way to do it.
“Big respect to them, but we have to trust in ourselves and do our maximum to enjoy the challenge, and let’s see the result.”