Now that Monroe escaped the franchise tag designation, he appears destined to play in another city next season.
Monroe has been seeking $10 million annually, per Zenitz, whereas the Ravens have been offering $8-9 million.
Rapoport cautions, however, that there is "a lot of ball game left" in negotiations ahead of the start of free agency on Tuesday.
On Friday's edition of the "Around The League Podcast," Gregg Rosenthal predicted that Monroe would draw the richest contract of any free agent this offseason.
Once Monroe hits the open market, the Dolphins are expected to be waiting with a tempting offer. The 26-year-old reportedly is new general manager Dennis Hickey's first choice to initiate a rebuilding process on Miami's tattered offensive line.