The 6-foot-4, 215-pound Gillette, one of the top long snappers in the 2010 class, received a scholarship offer during his official visit to Rutgers.
"Right now I'm currently committed to Rice,'' Gillette said. "I'm going to have a family meeting to talk about college and see what places I would fit right now.''
Tennessee is trying to get Gillette to visit next weekend, but he said a school commitment "is probably going to prevent that'' from happening. He added he has never been to Tennessee's campus, and said "it probably wouldn't be likely'' he would attend a school he had not previously visited.
Gillette, who committed to Rice last week, was born in Dallas but also lived in Maryland and Colorado. He had not been to New Jersey before the official visit began.
"It's a place I've never been before and I didn't know too much about,'' Gillette said. "It's been planned for a while, even before I was committed to Rice, so I didn't want to bail on it. I'm glad I went. It was a good experience for me, one that I enjoyed.
"We toured the facilities and the campus. One of the cool things we did was go to New York City and Times Square, and we went out go the ESPN Zone. That was pretty cool.''
How Gillette fits into the depth chart could go a long way in determining his destination. The Owls' long snapper is a senior next season. Rutgers is in the need for one after the graduation of Andrew DePaola.
But Gillette said he committed to Rice because of the Owls' willingness to allow him to play tight end, something that may not happen if he goes to Rutgers.
"I want to play and want to be on the field,'' Gillette said. "Being a tight end is what I really wanted to do. After I visited Rice, I really liked it and committed.''
Gillette was referred to Rutgers, as well as many other schools, by Chris Rubio, who is the long-snapper coach for Chris Sailor Kicking.
"Chris Rubio taught me how to long snap,'' Gillette said. "I called him, and he recommends people to certain colleges. (Rutgers) has talked to him. I've been to a few of his camps, and he taught me how to long snap.
"I was pretty God-awful when I started. I worked out with him, and it was just practicing and practicing, and it got me to be one of the best.''