Jeremy Lin thinks he would have been offered a Division I basketball scholarship -- if he wasn't Asian-American.

Lin, now the starting point guard for the Houston Rockets, led Palo Alto (Calif.) High School to a 32-1 record and a state championship in 2005-06, averaging 15.1 points, 7.1 assists, 6.2 rebounds and 5.0 steals per game.

But despite being named first-team All-State and Northern California Division II Player of the Year, local schools like Stanford and UCLA passed on the 6-foot-3 Lin.

"Well, I think the obvious thing in my mind is that I was Asian-American, which, you know, is a whole different issue but ... I think that was a barrier," Lin told Charlie Rose in a "60 Minutes" interview that will air Sunday night.

"I mean ... it's a stereotype."

Lin ended up at Harvard University, where he was twice named to the All-Ivy League first team. He went undrafted out of college, but impressed in the NBA Summer League and signed with the Golden State Warriors in 2010.