BVB have plenty of cash after Dembele moved to Barcelona for a fee that could rise to £135.5m and have moved to recruit the Ukraine global winger for 25m euros.
Dembele became the second-most expensive player in soccer history on Friday when Barcelona picked the 20-year-old French forward to replace Neymar in a deal that could reach 147 million euros ($175 million).
" I am very grateful that Dynamo Kiev fulfilled my dream of being able to switch to a big European club. I will work hard in every training to help BVB achieve its highest goals - to which I always am".
Yarmolenko, 27, will wear the No 9 shirt at the Bundesliga club after switching from Ukrainian side Dynamo Kiev to pen a four-year deal at the Westfalenstadion until June 2021.
The Dutch coach misheard a question about the Danish forward from Sky pundit and ex-Germany worldwide Christoph Metzelder before Dortmund's 2-0 win against Hertha Berlin. "I think it will, but nothing is 100 percent sure", Bosz replied, but the club later revealed the Dutch boss thought he was being asked about Dembele's transfer.
"Sport Arena" confirms the proximity of the transfer Yarmolenko successfully passed the examination, and "Dynamo" agreed with Borussia Dortmund all the details of the transfer.
Yarmolenko is a three-time victor of the Ukraine Premier League with Kiev.