Fully recovered from the shoulder injury he suffered in their Uefa Champions League final loss to Real Madrid, the former Chelsea forward helped kick-start the Reds’ 2018-19 campaign last week, leading them to a 4-0 win over West Ham United.
And ahead of Jurgen Klopp’s side visit to Selhurst Park, Hodgson believes the 26-year-old can have another go this term - hoping his side manage to keep him and his teammates ‘quiet’ on Monday.
"There's no doubt in my mind that he will be good this season because of the qualities he possesses," Hodgson told Sky Sport.
"But of course for him and his club, people will keep cranking up expectations and that's not a great thing to have to deal with either for the player or the club.
"You're playing against players who cost a lot of money, players who have a very strong pedigree, players whose technical ability is very good, whose physical capacity is good.
"I don't know that you can necessarily stop them for 90 minutes from getting anywhere near your goal - that might be too strong an objective.
"But we hope we can keep them quiet enough for us to get enough of the ball and cause them enough problems to get a result in the game, it really isn't more complicated than that."