Russian media had speculated that the StPetersburg builder could lose out on the RUB 84.4bn ($2.34bn) contract for the60-megawatt (MW) vessels.
But sources cited by the Kommersant dailysay a deal is close.
Rosatom and yard parent United ShipbuildingCorporation (USC) have been struggling to agree a price.
The results of the latest tender are due onThursday.
Baltiysky is already building a first 60-MWicebreaker for Rosatom.
But