The reports say the news conference will be held tomorrow in the city of Rostov-on-Don.
They earlier carried Yanukovych's statement, in which he claimed he remains the legitimate leader of Ukraine and denounced the new Ukrainian authorities as illegitimate.
Russia-backed Yanukovych has fled Ukraine after signing a peace deal with protesters following violence in which more than 80 people died, most of them protesters killed by government snipers.
Russian news reports say he is in Russia.