After a surprisingly flat first half by his own high standards, the Uruguay international scored twice and assisted with the third for Jose Enrique as the Reds registered only their fourth Barclays Premier League win of 2012.
"Luis is a very big part of the team. His first goal was a wonderful finish with a great weight of pass from young Raheem (Sterling)," said the Reds boss. "He finished it great and for the second one there was a lovely pass from Enrique and a nice little off-the-shoulder run and finish. He is a master marksman, absolutely outstanding, and we are thrilled to have him."
Suarez, the club's only fit senior striker, has scored more than half of Liverpool's 17 league goals this season but Rodgers is not concerned the burden may become too much on the 25-year-old.
"Not at all. Of course we want other support around that but you can see he thrives on it," added the Northern Irishman. "If you look at his goal return this season already he is enjoying playing in the system and enjoying the freedom of being that loose striker. This group are improving all the time and Luis is the pinnacle up there getting the goals."
The 27-year was caught just above the shin by Reds winger Raheem Sterling's knee as they jumped for a ball in the first half.
"He has a fracture and we are going to assess him now because maybe he will require surgery," said the Spaniard. "If he needs surgery he will probably be out for four months and that will be a major blow for us.
"The injury affected us too much because I thought we started quite sharp and controlled the game in the first half. I thought we were the team who looked like being a real threat and I thought we stopped Liverpool completely.
"Unfortunately in the second half we suffered too much from the international fixtures."