Parore told Australia's Daily Telegraph he accepted Lee's explanation that the beamers were accidental but that he still believed preventative measures were needed to avert a tragedy.
"I don't think he is doing it deliberately but he probably needs the ropes put on him," Parore told the newspaper on Friday. "It's a bit too regular, if he was unlucky, there is a very real possibility he could kill someone.
"If he gets through the visor, he'll probably kill someone. I'm bloody sure he wouldn't want to live with that."
Australia's thrilling victory last-over victory over New Zealand in Wellington last Wednesday was overshadowed by controversy over a beamer Lee bowled to Brendan McCallum, the fifth he has sent down to Kiwi batsmen in the past year.
Parore suggested that if a bowler sent down more than one beam ball in a series, then the player should be suspended for a game.
Australian captain Ricky Ponting insisted Lee's latest controversial delivery was an attempted yorker than went astray and the bowler apologised to McCullum immediately.