The troubled leader has already threatened to call such a vote, which would further undermine fragile institutions established by the Dayton agreement that ended the inter-ethnic 1992-1995 war.
"I do not want to pretend to support a failed concept called Bosnia and Herzegovina," Dodik told AFP in an interview at his presidency in the northern town of Banja Luka.
However, he said he was ready to work "to ensure sustainability of Bosnia as previewed by the constitution."
Dodik added that unless a consensus can be found between Bosnia's communities -- Muslims, Serbs and Croats -- the country will disappear.
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Since the end of the war that claimed 100,000 lives, Bosnia has been split along ethnic lines into two semi-independent entities -- Muslim-Croat Federation and Serb-run Republika Srpska. They are linked by fragile central institutions vehemently contested by Dodik.
Despite the opposition of the international community, a constitutional court veto and the rage of Muslim leaders in Sarajevo, Dodik last month organised a referendum over Serbs' "national holiday."
The prosecutor's office in Sarajevo summoned Dodik as a suspect for having organised the referendum, considered illegal after the court ban.
Repeatedly saying that he is ready to give a statement through a video link or in the territory of Republika Srpska, Dodik said he would not travel to a location whose jurisdiction he considers "illegal."
"My roads do not lead to Sarajevo," he said.
"I am a target of Sarajevo Muslims and their politics. I have no link with Sarajevo and nothing attracts me there.
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