The Spurs interviewed Georgia Tech power forward Derrick Favors at the NBA Combine in Chicago this week.
Favors, who is projected to go third in next month's draft by most analysts, told the Associated Press that he believes San Antonio is trying to trade up to take him.
The Spurs have the 20th overall pick.
RealGM Note: Executive Editor Chris Reina has Favors going third to New Jersey in his latest mock draft.