If so, it would be a significant change from the five-year contract in the $100-million range that Kimbrel was apparently still seeking in March.
Earlier this week, it was reported that Kimbrel was inching "closer" to choosing a new team, with the Milwaukee Brewers and Atlanta Braves among those monitoring his situation.
The Tampa Bay Rays, Washington Nationals, and Philadelphia Phillies have also been linked to the ace reliever at various points of the offseason.
Kimbrel's former team, the Boston Red Sox, appeared to bow out of consideration when team chairman Tom Werner said a reunion was extremely unlikely in late February.
The 30-year-old Kimbrel leads all active pitchers with 333 career saves and sits 14th on the all-time list. He needs to successfully convert six saves to catch Hall of Fame reliever Rollie Fingers for 13th.