Spurs head coach Gregg Popovich met with Leonard on Tuesday to discuss the two-time Defensive Player of the Year's relationship with the franchise and hammer out why he wants to be traded.
Despite Leonard's desire to join the Lakers, Shelburne and Wojnarowski noted San Antonio is "unlikely to be motivated to facilitate a deal" with Los Angeles.
Wojnarowski reported in January that Leonard had grown "distant" and "disconnected" from the Spurs due to growing frustration with how they were handling his rehab from the quad injury that limited him to nine games this season.
The 26-year-old Leonard is entering the final guaranteed year of his contract and is eligible for a supermax extension worth up to $219 million over five years if he stays with San Antonio. He will be able to sign a $188 million deal next summer if he's traded and re-signs with the team that acquires him.
Leonard averaged 16.2 points and 4.7 rebounds in nine games for the Spurs this season. He finished third in NBA MVP voting last year after setting career-highs with 25.5 points and 3.5 assists per game.