Carragher has come in for criticism over his lack of pace this season, but Hyypia told the Sunday Telegraph: "First and foremost, you have to be a good player.
"If you cannot control the ball, or read the game, you can be as fast as you want, but it does not make you a better or more reliable player.
"That is not to say that you do not need athletic basics and a certain standard of pace. But whatever your attributes, you need quality to cope with the Premier League, or the Bundesliga, whatever league you are playing in. But you cannot underestimate how high the value of experience in football is."