Challenging Putin, who has refused to meet the Turkish leader after the shooting down of a Russian military jet, Erdogan added: "And I tell Mr Putin `would you stay in that office?` I say this clearly."
Putin earlier Monday accused Ankara of shooting down the Russian Su-24 warplane last week to protect supplies of oil from the Islamic State group to Turkey, charges Turkey vehemently denies.
"Let`s remain patient and let`s not act emotionally," said Erdogan.
Erdogan said that Turkey obtained all its oil and gas imports "though the legal path".
"We are not dishonest so as to do this kind of exchange with terrorist groups. Everyone needs to know this."
After the Su-24 bomber was downed on the Syrian border last week, Putin accused the Turks of being "accomplices of terrorists" and said oil from IS territory was being exported through Turkey.
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