Snyder, 77, just completed his 25th season with the Wildcats, the ninth season of his second tenure as K-State's coach. He finished his college career with 57 rushing touchdowns.
Klein spent the past season coaching quarterbacks at Northern Iowa.
After college, Klein tried to make it as a professional, first in the National Football League and then in Canada, but returned to K-State as a graduate assistant in 2014.
K-State starts spring practice in late March and returns to the field on April 22 for its spring game.
At K-State, Klein is expected to help coach quarterbacks and give the Wildcats a recruiting boost.
We reached out to K-State's athletic department Friday night, but have not heard anything back. The Panthers suffered through a rough season, going 5-6.
In a coaching environment where Bill Snyder has reportedly fought hard to keep his staff together, the move is both surprising and not very much so.
The subject wasn't brought up as often during the past season as Snyder seemed invigorated by the success of one of the youngest teams he has fielded and the prospects of a strong season in 2017. In 1995, he left Manhattan to become the head coach at Missouri State and guided the Bears to a 21-23 record over four seasons. Snyder is now taking some time off to address his health, but is expected to coach next season for Kansas State.