Before the Commodore offer, Ohio State made him a target in 2015 less than a week ago.
Kim "loved" his time in Nashville Saturday and his time with the coaches was "great."
That offer was not a huge surprise to the 6-foot-4, 281 pound offensive tackle, but the one before that one was.
"The Ohio State offer surprised me," said Kim. "I had not heard from them much until the day before they offered. I wasn't expecting it.
"Ohio State is a top notch program, they have great academics, and they have been winning a lot. I think Urban Meyer is one of the top coaches out there too. I will be visiting there this weekend."
Out of that list, the three schools that have offered stood out to him when he was on their campus.
"Duke has a beautiful campus and I like the coaches a lot up there. Their academics are top notch too, most know that. It is just a nice college.
"It is very nice up at North Carolina. I like their facilities, their academics are very good, and it was just a nice atmosphere to be in.
"The atmosphere was great up there at Tennessee for the South Carolina game. It was loud, everyone was very friendly, and I had a great time."
Who could be next to offer? A number of SEC schools are showing heavy interest.
Each school that has offered has something Kim likes. His favorite team growing up with the Atlanta Falcons, he didn't favor a college team.
He is keeping his options open.
"I can't really tell you anything about favorites yet," said Kim. "All schools are the same for me right now. They are all neck-and-neck right now."
Kim is an offensive tackle that has really come on this fall. He has good feet, he is athletic, and he plays with good technique.
Expect his offer list to continue to grow the more schools see him.