The England decision followed Jonny Bairstow's headbutt on Australian opener Cameron Bancroft in a Perth bar late last month, which only came to light over the weekend.
It came with sensitivity within the England camp about off-field behaviour after the controversy surrounding suspended star all-rounder Ben Stokes, who is facing a police inquiry into a fight outside a Bristol nightclub in September
Lehmann said it was not something he would consider.
"We have faith in the blokes to do the right thing. They're grown men, they're adults."
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Former Australian captain and selector Greg Chappell suggested curfews were ineffective.
"If someone is determined to get out and do silly things they're probably going to do it whether there's a curfew or not," he told Melbourne radio station SEN.
"Curfews are pretty useless really. If you treat people like adults, most of them will behave like adults. Those who don't probably don't last very long."
In laying down the law after the Bairstow incident, he said his players "need to be smarter".
"That's the reality, they are adults, intelligent adults, and at times they are not using that intelligence in the right way," he said.
"It is a distraction to the team and none of us want that distraction."
Despite the Stokes controversy and the Bairstow incident, Strauss insisted the team were "good, honest, hardworking cricketers".
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