Cobbinah will arrive in Denmark Monday to complete his transfer after a wonderful 2016/17 season with Hearts.
Hearts and Viborg have agreed on a fee of about €75,000 with an expected 10% onward fee to be paid if Cobbinah puts pen to paper.
The Danish league 1 club have been monitoring Cobbina since his return to the Ghanaian topflight after a failed stint in Asia.
However, Viborg were blown away by his impressive performances in 2017 Wafu Cup which the Black Stars B won on home soil.
Cobbina was terrific in the heart of Hearts midfield as the Phobians secured a top-four spot and reached the FA Cup for the first in over a decade.