Wojnarowski also reported McGee remains engaged in talks with the Golden State Warriors.
The 29-year-old provided quality play off the bench for the Dubs last season, averaging 6.1 points, 3.2 rebounds and 0.9 blocks in just 9.6 minutes per game. He also shot a career-best 65.2 percent from the field.
Extrapolated over 36 minutes per contest, McGee would have averaged 23 points, 11.9 rebounds and 3.3 blocks. He was DeAndre Jordan lite for the Warriors.
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After winning his first career championship, he expressed his desire to remain with the organization, per Raul Barrigon of Hoops Hype: "Oh man, it would be horrible to leave here. This is the best situation I've ever been and I love it here. But I definitely have to make the best decision for my family, I guess."
The Clippers, meanwhile, are reshaping their roster after trading point guard Chris Paul to the Houston Rockets. They retained Blake Griffin in free agency and completed a three-team deal to land forward Danilo Gallinari from the Denver Nuggets on Tuesday.
McGee would add to the depth the Clips picked up in the CP3 trade and join a formidable frontcourt that already includes Jordan and Griffin.