However, the board released a statement on Wednesday denying that anyone had been appointed as Lehmann's successor.
While Langer is wanting to oversee all three worldwide formats, whether Cricket Australia appoints co-coaches to take charge of the limited overs formats is yet to be determined.
Langer has occasionally filled in for Lehmann as Australia's limited-overs coach, giving the previous coach time at home between tours, but it remains to be seen if CA will continue to combine the roles.
Other candidates include Jason Gillespie, who has coached the Adelaide Strikers in between stints leading English county sides Yorkshire and Sussex, and former Test captain Ricky Ponting.
Calls for a complete overhaul of Australia's team culture following the Cape Town tampering mess ran like wildfire following Lehmann's teary resignation.
The appointment was likely to be made by the start of next month, a cricket Australia spokesperson said.
Langer is the coach of Western Australia and the Perth Scorchers.
'The board meeting on Friday will determine the process for appointing the next Australian coach, ' they told the West Australian.
The former Aussie batsman, who coached Australia to a historic Ashes whitewash in 2013/14, was set to resign in the following year.
However, CA says "no appointment has been made" and no candidate "will be put to the board" when it next meets.
"We expect to have a clearer understanding of the approach and appointment timelines following this meeting".