Projected to go in the top-10, the Jazz, which owns the 14th and 21st picks, would most likely have to trade up to get him.
"That would mean a lot to me," McCollum said about the Jazz possibly making a deal for him. "It would show how dedicated they are, and at the same time, it would show that they trust me. You have to give up some solid pieces to move up. I know they draft at 14 and 21, and they have some expiring contracts, so it will be interesting to see what happens."
McCollum played at a small school in Lehigh, where he averaged 21.7 point, 6.7 rebounds and 2.7 assists per game over his four-year college career. McCollum also led Lehigh to one of the biggest upsets in NCAA Tournament history when the 15th-seeded Mountain Hawks beat 2nd-seeded Duke in 2012.
Like former Weber State star Damian Lillard, who just won the NBA Rookie of the Year Award with the Portland Trailblazers, McCollum says the size of the school does not matter.
"What people don't understand is there are guys that go to Kentucky, Ohio State, Kansas and they struggle in the NBA," he said. "It's a transition for everyone in the NBA. It doesn't matter where you come from."
McCollum, who has been compared to Golden State guard Stephen Curry, sees similarities in his game with Lillard as well.
"We're both very poised and both have the ability to knock down shots in a hurry," he said. "We're both ready for the big stage. He showed he was ready, he just needed the chance. I think I'm a proven player, but there will still be question marks about every rookie."
"He's a little bit more mature than somebody who is a one and done or someone who comes out after two years," said Jazz director of scouting Walt Perrin. "We'll value that probably more off the court than on the court because of the maturity factor."
McCollum broke his foot, ending his senior season prematurely. But he says he is at 100 percent and is ready to make an immediate impact in the NBA.
"I bring a lot of different intangible," McCollum said. "I'm a heady player and I'm pretty mature. I feel like I would thrive in an environment like this because it's more laid back kind of like Lehigh. It's a very good community and it's the only show in town."
We'll see if the Jazz value McCollum's maturity enough to make a trade for him on draft night.