The Uruguay international was as lively as ever in the Reds' 4-1 victory and played a part in three of his side's four goals, scoring the third.
It comes just four days after Suarez netted four in the victory over Norwich at Anfield and his manager was effusive in his praise of his star man.
"I wouldn't swap him, I get the chance to work with him every day and what he gives to training and what he gives to the team is just a relentless desire," said Rodgers.
"When you have that in a player then you don't want to let it go, he's been a great privilege to work with. We have a strong relationship, he's been fantastic and he's a joy to watch."
The win takes the Merseysiders into second in the table but the Liverpool boss was keen to stress that his side must not get carried away with another 23 games still to be played before May.
"We just need to keep going," he added. "We've got some difficult games ahead but it was always going to be difficult.
"We just go to the next challenge, today was a good day for us. Results went our way and that's what you need to exploit and we've done that."
Rodgers also praised the club's fans for the part they have played in Liverpool's fine start to the season.
"You've got to give the supporters credit as well because they play a huge part in our drive and relentless desire to get goals," he said. "Their encouragement plays a big part."