Both clubs have reached an agreement on the terms of the transfer of the Ghanaian who impressed on a trial last week.
Paintsil has signed a permanent contract with the Austrian side after passing a mandatory medical.
Admira Wacker will announce the signing of the forward when the player completes formalities.
The Austrian side decided against signing the 22-year-old back in 2015 but will finally join the club after convincing the side of his qualities.
The Ghanaian scored five goals in 15 appearances for FF Jaro last season.