The Brazilian has impressed since his move from Monaco and has positioned himself as one of the top defensive midfielders in the Premier League.
He has also scored several long range goals to win games for his team. And Klopp wants him to shoot move next season.
"He always talks about that I have to shoot more because I have this quality," Fabinho told the club's website at their pre-season training camp in Austria. "I will try.
"I know I can do this, I have to try more in the games. Sometimes I have the chance to shoot more from long distance and I didn't do this because I prefer to pass.
"But I scored two nice goals last season and I just have to train this and try a bit more in the games."
Fabinho added: "It's very good to be back with the boys. I've missed the training sessions, the intensity.
"So it's a bit hard in the beginning but this will help a lot in the season and I am very excited to start again, to try to play best and win trophies as well.
"We are Liverpool and we have a very good mentality. We are very happy with the title last season but now we start again.
"We have a very good thing to keep going, to keep this line of work. We just have to work like always and try to win many more titles because this thing is very good and very special."