Jackson went 3-36-1 in 40 games as head coach since being hired in 2016, including an 0-16 campaign in 2017. The person spoke on condition of anonymity because the team has not yet announced the expected move.
Jackson's firing came a day after the Browns (2-5-1) lost their 25th straight road game - 20 of them coming with Jackson in charge. Romeo Crennel, Eric Mangini, Pat Shurmur, Rob Chudzinski and Mike Pettine all met the same demise.
The Browns will face the Chiefs in Week 9 action Sunday.
The Browns also dismissed offensive co-ordinator Todd Haley and named defensive co-ordinator Gregg Williams interim coach.
Jackson is the fourth head coach since the end of the 2012 season owners Jimmy and Dee Haslam have fired.
Dorsey doesn't have reason to worry about that scenario anymore, however, as Haley also was sacked Monday afternoon. And even though this is first year as the signal-caller, it sounds like the No. 1 overall pick wasn't all that fond of Jackson, according to NFL Network's Ian Rapoport.
The Cleveland Browns will soon begin searching for a new head coach who can turn Baker Mayfield into a franchise quarterback, and they may look at the man who helped mold Mayfield into a star as a possible candidate.
First reported by notable National Football League insider Ian Rapoport, the Browns will definitely be in more than one coaching market this offseason.