The undrafted rookie is making a strong bid for either a roster spot on the 53-man active roster or a practice squad position as he competes with veteran tight end Billy Bajema.
Tonight's preseason finale against the St. Louis Rams shapes up as a pivotal final audition for Furstenburg and Bajema as they try to make the team as a third tight end behind starter Ed Dickson and backup Dallas Clark.
"I'm on the bubble, not sure if I'm going to be on 53 or practice squad," Furstenburg said. "If I play good, that's all I can do. It's out of my control. I just hope after this game I play good and they make a hard decision on me."
Furstenburg has caught four passes for 54 yards.
Furstenburg ran the fastest 40-yard dash among tight ends at the NFL scouting combine with a 4.62 clocking.
Furstenburg caught 16 passes for 206 yards and two touchdowns as a senior for the Terps, finishing his career with 60 career receptions for 769 yards and five touchdowns.
"It's gone good this whole camp," said Furstenburg, who's signed to a three-year non-guaranteed $1.495 million contract that included a $10,000 signing bonus. "I'm trying to learn every day and get better."
Bajema has one reception for 18 yards this preseason.
He knows the importance of this game.
"You want to finish strong and make a place for yourself," Bajema said. "It's a big game for a lot of guys. It's one more chance to get on film and show what you can do and leave your mark a little bit. I'm just trying to do anything I can to help the team win.
"I'm trying to be physical and trying to be dominant in the run game and pass protection. If I have a chance to make a play in the passing game, I want to do that, too, and make a good impression."
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