"First off, we are extremely proud of Bret being drafted. He worked extremely hard this year, and had a good year for us," said Burroughs, who completed his second year at the helm in May.
Underwood is the first Demon drafted since the 2012 season when NSU had three players taken, including Mason Melotakis who was called in the second round.
The 6-foot-1, junior outfielder was a crucial piece of the turnaround the Demons achieved in 2014.
"He has a great skillset, and there is no doubt he is a pro prospect," said Burroughs. "He played most of the year injured and banged up. He fought through some injuries and still had a good year for us."
Underwood, a native of Mobile, Ala., transferred from Faulkner State Community College for the 2014 season.
He hit for a .289 average in his 2014 campaign with 17 runs batted in and 28 runs scored.
He tied a Demon single season record with six triples, and added team-high 18 stolen bases.
"A lot of people don't know how tough it is to perform in front of scouts with cameras on you constantly," said Burroughs. "That is something he is not accustomed to, and I thought he handled it very well."