Wolf's move to Cleveland comes in the wake of the Packers naming Brian Gutekunst as their next general manager to replace Ted Thompson.
Dorsey went to his Packers and Chiefs roots and shook up the Browns personnel department Wednesday with a series of moves created to help him reshape a roster that went 0-16 this season.
According to ESPN's Dan Graziano, Wolf's title will be assistant general manager.
Wolf was in high demand after being passed over for the general manager's job with the Green Bay Packers.
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Wolf served as the Packers' director of football operations for the last two years.
In order to accumulate talent in free agency and the draft, general manager John Dorsey first had to stockpile talent in the front office.
"I really like the direction of where leadership is headed", Wolf said in the release announcing the moves. Like Dorsey, Highsmith is a former player who went into scouting with the Packers.
It's a big loss for Green Bay, and potentially another sign that their grip on the NFC North is slipping.
But the son of Hall of Fame executive Ron Wolf is instead joining the Browns, still crawling from the wreckage of a 0-16 season while preparing for a draft in which they'll have the No. 1 overall pick and four in the top 35.
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The Browns have officially turned the page on the ill-fated Sashi Brown era by adding another experienced football executive to the front office.
"This is going to be an exciting challenge", Highsmith said.
Still, a part of me will always wonder what might have been. Green Bay reached the postseason every year from 2009-16 - one season shy of the National Football League record - before having that string snapped after this year's 7-9 campaign.
Wolf is the second former Packers executive hired by Dorsey in the last 2 weeks.
The Browns also confirmed three other hires further down the organizational chart, the dismissal of senior personnel executive Ryan Grigson and that both previous vice presidents of player personnel Andrew Berry and Ken Kovash will be retained.
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The foundation of the Packers' success is built in the personnel room.