Johansen, 22, and his agent, Kurt Overhardt, appear willing to accept a short-term, bridge contract, but their salary demands are currently too high for the Blue Jackets to accept.
Overhardt recently pitched a two-year deal on behalf of his client.
Portzline reported this afternoon, via Twitter, that Johansen's camp has also offered a four-year agreement, something the Blue Jackets are not interested in as that would take Johansen into unrestricted free agency.
The Blue Jackets have a two-year deal and a three-year contract on the table.
To date, Columbus has a little over $14 million in available salary cap space. That will decrease once Johansen is signed, but it still gives the team plenty of flexibility to maneuver other moves.
It seems likely that talks will carry into September and possible training camp.
Johansen, drafted fourth-overall by the Blue Jackets in 2010, registered 33 goals and 30 assists for 63 points in 82 games last season.