We spoke with Thompson in Arizona and asked about the schools that he's considering.
When we asked if he has a favorite, Thompson replied "my favorites are Georgetown and UCLA."
Thompson talked a little about the factors he'll consider when choosing a school.
"A good basketball program, a good coach, the campus and atmosphere, and also the academics," said Thompson. "I don't care about the location. Early playing time would definitely be a big factor."
We asked Thompson if he has a timeframe for picking a school.
"I'd like to do it earlier rather than later," said Thompson.
Thompson has been to local schools UCLA and USC, but he's also visited another school on his list.
"I've been to Georgetown," said Thompson. "When I was a freshman, we went to a tournament in Virginia and we took a visit to the Georgetown campus.
An excellent student, Thompson told us he has a 4.1 GPA.