"Probably by the first week of April, I'll be down to two and then between April and May I'll probably have my commitment," the 6-6 forward said.
"They are showing a little more interest now," he said of his remaining schools. "Georgetown still likes my IQ of the game and they have a great history. UNC fits my playing style and so does Kentucky. UNC and Kentucky are up there."
On Tuesday, Williams was in Chapel Hill to watch the Georgetown women's team participate in the NCAA Tournament. Williams's aunt – Terri Williams-Flournoy – is the Hoyas head coach.
During the trip Williams met up with UNC assistant coach Steve Robinson.
"It was good," he said of their brief conversation. "He was just seeing how my recruitment was going and how well my aunt's team was playing and when the next time I was going to be there.
"When I got up there, most of the students knew I was up there and they came up and greeted me."
Now Williams, who said he wasn't planning to take any more unofficial visits, will turn his attention to coming up with a decision.
"That's the biggest step," Williams admitted.
"I think the main thing -- or the two main things -- are if the coaches and my family get along well and then there's the academic side," Williams said when asked what he was looking for.
During his junior season, Williams averaged 18.2 points and 11.1 rebounds, while leading his team to the regional quarterfinals.
"I got a little better in each area on offense and defense," he said. "I think we had a lot of up and down games. There were games we should have won. Then there were games we should have lost, but we didn't."
Williams will begin the spring travel circuit next month with the Boo Williams Summer League team, which will include open evaluation events for college coaches on the last two weekends of April.