Two more schools threw their name into the ring on Tuesday.
"Oklahoma and UCLA offered me," said Graham. "I was pretty excited to get both of those offers because those are two schools that have a great tradition."
The offers from the Bruins and the Sooners join offers from Wisconsin, Maryland, Washington State, Vanderbilt, San Diego State, Arizona, Hawaii, Colorado, Boise State, UNLV and Utah among others.
And there could be more.
"USC is coming by the school in two weeks and I was at their Spring Game on Saturday. They could be offering. Texas and Minnesota are two more schools that also could be getting more involved," said Graham.
Graham's visit to Southern California took him to the Coliseum in the morning for USC's Spring Game and, in the afternoon, up to UCLA.
Graham said: "I had just missed their (UCLA's) Junior Day, but when I got there, the head coach, Coach (Rick) Neuheisel saw me and took me on a tour of the campus myself. He said they really liked me and that they would be offering me. Then they did (on Tuesday). It was awesome at UCLA, I really liked it. Overall, the campus and the facilities were great. Having the head coach give me the tour means a lot. I told him what I wanted to do in college. I want to major in engineering so he took me over to the engineering building."
While Graham said he wasn't in a hurry to make his decision, choosing instead to take some official visits, he did name seven schools that are standing out to him.
"My top seven schools right now would be UCLA, Oklahoma, Wisconsin, Colorado, Utah, Boise State and Arizona," said Graham. "UCLA is my leader, because that's the only school that I've visited, but I really liked the coaches and the school. They actually want me to maybe play outside linebacker, too."
Graham said he's hoping to take some unofficial visits this summer to a few of the schools he's interested in. His only plans for a camp this spring are a local camp in Las Vegas next week.
One of the top three players in Nevada, Graham is currently ranked as the #2 defensive end in the West, behind another Vegas product, Justin Chaisson, who's committed to Oklahoma.
"Yeah, Oklahoma is where he's going and they offered me so that's cool they're recruiting in Vegas like that," said Graham.
Graham said he's looking at a lot of factors in his decision. "The academics are really important to my family," said Graham. "I want to go to a good school with a good education. And the coaches and playing time are also important."
Distance isn't a factor either for Graham. "I'll probably be leaving Vegas anyway, so it really doesn't matter where I go. I don't want to go somewhere too cold though," said Graham.
During his junior year, Graham had 72 tackles and 13.5 sacks and recorded a sack in eight of 10 games and had nine sacks in a four game span.
Academically, Graham has a 2.9 GPA and said he took the SAT and received a qualifying score.