Suarez is expected to return to from his 10-game suspension in the Capital One Cup showdown with United.
The Uruguayan has not played since he was handed the ban for biting Chelsea defender Branislav Ivanovic in May.
In 2011, Suarez received an eight-game suspension after being found guilty by the FA of racially abusing United defender Patrice Evra, but Rodgers believes the third-round tie against Liverpool's bitter rivals is the perfect match for a comeback.
"I've got no hesitation about playing him," said the Liverpool manager.
"Since I've been manager, there has never been an issue like that with him. For me, the history of the clash doesn't enter my mind.
"He is a tough character and resilient. He is one of the strongest-willed players I've come across in my life.
"He is a fighter and his desire to succeed is out there for everybody to see. We're delighted to have him back.
"It is a good game for us as a team after the disappointment of the weekend and Luis will be part of that.
"But for him, it's a fixture that once it came out and he knew he was available for it, it will have stoked him up and got him even more ready.
"You could argue that it is a really good game for him to come back to."
You can watch tonight's mouth-watering Carling Cup clash between United and Liverpool live on Sky Sports 1 HD from 7pm.