Lehmann will miss the start of Saturday’s international at the Cake Tin before taking the reins from batting coach Michael Di Venuto.
The news will help settle a 14-man squad reeling from Australia’s worst loss under Steve Smith.
Smith and George Bailey both downplayed the impact of Lehmann’s absence on the group after a shambolic 159-run loss to NZ in Auckland.
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Even so, the side’s form has dipped dramatically since Lehmann was taken to Sydney’s Royal Prince Alfred hospital on the same day their 18-match ODI winning streak at home ended.
Having claimed a thrilling victory in that SCG match, India then powered to a 3-0 clean sweep of the following Twenty20 series.
Australia then started their tour of NZ in woeful fashion, a collapse of 5-8 following the hosts’ total of 8-307.
“It would be a bit of a knee-jerk or shallow reaction to say it was all down to Boof being here or not being here,” Bailey told radio station SEN.
“Absolutely we’d love to have him here as head coach but I don’t think we can pass the buck.
“I don’t think he would have scored any runs on that wicket.
“Boof’s been around the group for long enough and we’ve all played enough with him, including the coaching staff.
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“The language is all the same. The meetings are all run the same. We’ve prepared the same.”
Bailey pointed out Lehmann was with the ODI squad in 2015, when they suffered a collapse of 8-26 against the same opposition at the same ground.
“He was the coach here when we played in the World Cup 12 months ago and it was much the same result,” the veteran batsman said.
“We just haven’t played particularly well at this ground the last couple of times we’ve played here.”
Smith also called on his teammates to take responsibility after being embarrassed at Eden Park.
“He’s unwell at the moment obviously and he’ll be back soon enough,” the skipper said.