The Royals are currently at the foot of the table with 23 points from 32 matches, while the Reds are seventh in the standings.
"It has been a difficult season and you feel sorry for Brian [McDermott] who got the team promoted but ended up losing his job," Sky Sports News quotes Rodgers as saying.
"They have decided to put in Nigel Adkins, who is a top-class manager but he is going to need time because his footballing principles and how he wants to play will be different to maybe what the club has had. I am sure he will fight and not give up on staying up and that is why it will be a tough game.
"But he is a guy who can go in there and take them back up as he has a couple of promotions under his belt and he knows what it takes to get back into the Premier League if they were to go down. But there are a number of games left and until they are mathematically down they will keep fighting."
Liverpool were held to a goalless draw by West Ham United at Anfield in their last league match.