"In the past two months he has sent down almost 300 overs across two Test series against South Africa and Pakistan, as well as three ODIs against New Zealand."
Lehmann said Hazlewood was not injured but would stand down from Friday's first match in Brisbane.
"We have decided to give him a week to freshen up at home and he will link up with the ODI squad in Melbourne ahead of the second match of the series," Lehmann said.
Lehmann said Hazlewood would play at the Gabba if one of the other fast bowlers was injured ahead of the match.
Hazlewood, who turned 26 on Sunday, has enjoyed a stellar season taking 32 wickets in the six home Tests against South Africa and Pakistan.
The other one-day internationals will be played in Melbourne (January 15), Perth (January 19), Sydney (January 22) and Adelaide (January 26).
Copyright Agence France-Presse, 2017