Johnson was withdrawn from the Twenty20 Champions League with a rib injury, but left with the national squad for the UAE on Sunday.
Johnson is the world's leading pace bowler after prominent roles in the recent Test series wins against England and South Africa.
Lehmann allayed fears that Johnson was in any doubt for the first Test against Pakistan, starting in Dubai on October 22.
"He'll be fine to go. Expect him to play the one-dayers, obviously not the T20 but the one-dayers and the Test series," Lehmann told reporters in Melbourne before the team's departure.
Lehmann was also upbeat that hamstrung captain Michael Clarke will be fit for the opening Test.
"I'm confident, he's confident -- and that's about where it is at the moment," Lehmann said.
"The tour game (on October 15-18) will be the telling time, I suppose, getting him out and playing that... But I'm pretty confident he'll play."
Clarke left ahead of the team last week to ensure he was acclimatised before beginning to stretch himself at training.
Even if Clarke and Johnson play, Australia will field a significantly different XI to that which edged South Africa in their last Test match in Cape Town in March.
Allrounder Shane Watson and pacemen Ryan Harris and James Pattinson are out with injuries.
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