BATON ROUGE, La. -- Fullback is a disappearing position in the NFL. Connor Neighbors understands this reality.

That's why LSU's senior fullback is less concerned about his positioning for the NFL draft than he is about finding a pro team that still uses players with his skillset in this era of wide-open offensive schemes.

"I don't really care about the draft," Neighbors said. "If I get drafted, that's fine. I just want to have a chance to play on a team. And I'm a football player, too. I can play special teams. I can do all that stuff. So as long as I have a chance and I seize the opportunity and make a team, that's all I really care about."

His recently accepted invitation to participate in the Senior Bowl all-star game shows that scouts believe Neighbors has the makings of a pro fullback. But Neighbors is smart to hedge his bets on becoming an actual draft pick.

Since 2007, when a whopping nine fullbacks came off the board in the draft, the number of players drafted from Neighbors' position has dwindled. In each of the last three drafts, only three fullbacks have been selected. And in the last five years, a total of 16 fullbacks came off the board.

ESPN draft analyst Mel Kiper Jr. and NFLDraftScout.com both rate Neighbors as the No. 5 fullback prospect in the upcoming draft, which indicates that becoming a late-round pick or undrafted free agent might be Neighbors' most likely path to an NFL roster.

If he goes the undrafted free agent route, Neighbors will have to find a club that makes use of his position -- and he admits he has been paying attention to where he might be a good fit.

"Ever since I moved to the position, when I've watched football, I've seen that," Neighbors said. "I know that a lot of teams, they have a package for [fullbacks]. Not everyone, NFL teams, they don't really use it that often. ...

"Tennessee uses one. [Former LSU quarterback and current Titans rookie Zach Mettenberger is] trying to get me to go there. He's like, 'How awesome would it be?' if I was there. That would be tight," Neighbors continued. "I know Atlanta uses one. Green Bay, they use one -- and they give him the ball -- so that would be tight if I went there. I try not to worry about that stuff, though, because I can't determine the outcome except with my play."

His performances in the Senior Bowl practices can help. Scouts flock to observe the game-week practices each year in order to see many of the nation's top senior prospects go head to head. For a player with three career carries for 6 yards and 11 career receptions for 119 yards, this is a good chance for Neighbors to show them that he can handle the ball, as well as block and cover kicks.

"I heard it's a pretty intense week, so we'll see what happens," Neighbors said.

Neighbors has a first-hand source who can attest to that intensity. His dad, Wes, played in the Senior Bowl in 1987 after an All-SEC career at Alabama. His late grandfather Billy, a College Football Hall of Famer, was an All-American at Alabama and played in the game in 1962.

Since the Senior Bowl is played in Neighbors' home state of Alabama -- in Mobile -- friends and family won't have far to travel to see him become the third Neighbors to compete in the game. And Neighbors expects plenty of them to show up for his final college game.

"That's what my dad said," Neighbors said, "so I've got to play good so I don't embarrass anybody."