Suarez insists team success is more important than personal milestones - and that is the reason why he has not asked to take over spot-kick duty from Steven Gerrard.
"If I wanted to do that I could ask Stevie if I could take a penalty, but I don't like that," he said. "For myself it is more important that Liverpool finish in a good position. I try in every game to score because I am a striker.
"I love to make goals but for me if I could swap being top scorer or winning the Golden Boot for the team finishing in the top four that would be more important.
"Of course it would be special (to break the record). In the last few years I have tried to do my job as well as I can to help the team and the Liverpool supporters.
"To finish the season as top scorer or with a new record would be nice for me, for my family and for the Liverpool supporters because it's important for them to have a player who holds the record.
"But if I think back a few games, I didn't score (he was goalless for five games in February) but I kept trying my best on the pitch."