Börner could become Sheffield Wednesday's first summer signing.
Börner is out of contract at the 2.Bundesliga side this summer, allowing the Owls to acquire his services without having to pay a transfer fee.
In a statement, Arminia confirmed that despite having reached an agreement to extend his deal the 28-year-old will leave them for an unnamed English club, which NW.de understands to be Sheffield Wednesday.
And Börner, who is said to have turned down a move to Norwich City two years ago, has since claimed to have received an offer 'I could not refuse'.
"It is true that Arminia and I verbally agreed on a new contract some time ago, but so far I haven't signed it," explained the left-sided centre-back, as quoted by NW.de. "In the short-term, I received a request from England, which I wanted to examine thoroughly. Because playing there has always been a lifelong dream of mine, which I can now fulfil. The offer includes sporting and economic components that I could not refuse.
"I am very sorry that I had to withdraw my pledge. I had five wonderful years at Arminia. Bielefeld has become my home. I wish the Arminia all the best and much success."
Sheffield Wednesday have already seen two players in Börner's position - Michael Hector and Daniel Pudil - depart since the end of the Championship season , although the Owls still hope to retain the former player's services after his return to parent club, Chelsea.
The German began his career at Energie Cottbus before joining Arminia - who are ninth in the table with two games remaining - in 2014.
He has made close to 150 appearances in his country's second tier, but has yet to experience top-flight football.
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