$147 million over six years.
The person spoke on condition of anonymity Saturday night because there was no completed contract.
Greinke is the top free-agent pitcher on the market, and has attracted interest from the Dodgers, Texas and the Los Angeles Angels. The 29-year-old righty started last season with Milwaukee and was later traded to the Angels, going a combined 15-5 with a 3.48 ERA.
The former AL Cy Young winner with Kansas City would be the latest high-priced player to be acquired by the Dodgers. They traded for first baseman Adrian Gonzalez, shortstop Hanley Ramirez, pitcher Josh Beckett and outfielder Carl Crawford late last season.