Jagielka is a big fan of the Brazilian.
He said: "Luiz is a fantastic player. He is probably one of the most technically gifted centre-halves I've seen in a long time.
"There are not many around who can use their right foot, left foot, dribble past opponents, score free-kicks and take penalties.
"If you wrote down his strengths you certainly wouldn't put a tick next to a centre-back role.
"With the attributes he has, he will become one of the greats as a centre-half. But at the moment to stop him making the odd mistake, Chelsea have moved him up a position and are playing two centre-halves behind him, to give him a bit more freedom to go and express himself while he learns the game over here.
"I learnt my trade in the Championship with Sheffield United as a midfielder and then when I came up to the Premier League I moved back.
"Luiz has come from abroad and maybe the speed of the game here has caught him out a couple of times when he has played at the back.
"But it is a little bit harsh to say he hasn't done well as a centre-half. It is just that he is still on that learning curve and the Premier League is a harsh environment to learn in."