Sheffer, a 6-foot-3, 230-pound junior at Ponte Vedra (Fla.) Nease, reeled in 45 passes for 607 yards and five touchdowns during the 2016 season.
"I'm still evaluating my options," Sheffer said. "I want to visit the schools that are recruiting me the hardest before I name a leader, but it is starting to become more clear."
"I'm going up there in two weeks. I'm very excited to check out Columbus," Sheffer said. "I hear from (offensive coordinator/tight ends) coach (Kevin) Wilson, (quarterbacks coach Ryan) Day, and (head coach Urban) Meyer every day.
"I know they have a big-time program, and coach Meyer and coach Wilson both have had a great deal of success with tight ends. I would compare my game very closely with Jordan Reed, who of course played for coach Meyer."
Sheffer, who is armed with roughly 25 offers overall, says coach Gus Malzahn and Auburn continue to ramp up the pressure with coach Larry Porter now seasoning up the tight ends for the Tigers.
"They've really been coming on strong since coach Porter came on board, and (offensive line) coach (Herb) Hand has visited school every contact period since they offered," Sheffer said. "They say the tight end position is going to be a big priority going forward."
The Sunshine State native has done his homework on coach Matt Canada, LSU's offensive play-caller, and found a whole lot of similarities to the offensive attack at his high school.
"I'm really excited to see the changes in their offense with coach Canada," Sheffer said. "I've watched some film from when he was at Pitt, and they use the position very similar to how we do at Nease.
"I often talk with (tight ends) coach (Steve) Ensminger and he seems like a really good guy."