"On the basis of preliminary developments I think that we managed to agree a specific formula for freeing Nadiya," Poroshenko told journalists following a phone call with Putin late yesterday.
Ukrainian military pilot Savchenko was jailed by a Russian court in March after being convicted of the murder of two Russian journalists who died covering the pro-Moscow rebellion in eastern Ukraine.
A long-mooted exchange of Savchenko for the Russian prisoners appeared closer at hand after a court in Kiev today convicted the two Russians of fighting alongside the rebels who took up arms against Ukraine's Western-backed government in 2014.
Poroshenko has already offered to swap the pair for Savchenko, who is currently refusing all food and liquid in protest at her 22-year sentence.
"The court yesterday announced its decision on the Russian military intelligence officers -- Yerofeyev and Aleksandrov -- and this verdict opens up specific possibilities to start the process of an exchange," Poroshenko said.
"But I would very much ask you to avoid any speculation on this subject, about the time it will take for any return and any further steps," Poroshenko said.
Ukraine insists the two Russian fighters were serving members of an elite Russian military intelligence unit when they were captured in May last year, but Moscow says they had quit the army before crossing the border.
The Kremlin confirmed Tuesday that Putin and Poroshenko had discussed the fates of Savchenko and the two Russians during their phone call but gave no hint that a deal was on the cards.
Savchenko began refusing all food and liquids in protest at her sentence on April 6 and her health is believed to be deteriorating rapidly.
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