Kimmich made his Germany debut in May 2016 and has since developed into a key figure for the reigning world champions.
He has not missed a single minute for Germany since featuring from the start in the Euro 2016 Group C encounter with Northern Ireland and Low has nothing but praise for the versatile 22-year-old.
"Joshua is one of the biggest talents I have seen over the past 10 years or so," Low told ZDF.
"He has a certain hunger and desire, he wants to be on top of his game in every single training session.
"I think he can have a huge career."
Kimmich is expected to start for Germany in their Confederations Cup opener against Australia on Monday.