Lehmann will be replaced by batting coach Michael Di Venuto for the three matches in Adelaide on Tuesday, Melbourne on Friday and Sydney on Sunday, Cricket Australia said.
“DVT is not an uncommon condition and it is important to diagnose it early so that it can be safely managed,” Cricket Australia’s chief medical officer John Orchard said in a statement late Saturday.
“Darren is stable but he has been advised not to fly in the short term and will therefore require a lay-off before he can return to coaching.”
Lehmann was admitted to a Sydney hospital on Saturday night after reporting a swollen calf to medical staff ahead of Australia’s one-day international against India on Saturday.
Deep vein thrombosis is a condition in which a clot forms in a deep vein, often in a leg.
“We will assess the situation on the basis of medical advice and with Darren’s best interests in mind over the coming days,” Cricket Australia’s team performance head Pat Howard added.