CHICAGO — Note to parents: All those hours your kids spend blazing a trail of destruction in video games may not be a complete waste of time, after all.

A small private university in Chicago is offering hefty scholarship for players of one game in particular, League of Legends, which has become one of the most popular games for organized team competitions.

Robert Morris University Illinois announced its new program this month and said it recognizes the growing legitimacy of what are known as “eSports.” The school says it also wants to give credit to those with a competitive spirit who don’t necessarily want to play traditional sports such as basketball or football.

Associate Athletic Director Kurt Melcher, who will be in charge of the school’s new varsity eSports program, said Friday that he expected a certain amount of surprise and attention, but was surprised by just how much feedback he’s getting.

“It’s interesting. There’s two sides: There’s the gamers side, who feel like they’ve been vindicated or liberated,” he said. “Then there’s the hardcore athletes side, who say, ‘What do you mean? That’s not a sport.”‘

Starting this fall, the scholarships will cover up to 50 percent of tuition and 50 percent of room and board. That’s worth up to $19,000 per student. Robert Morris says it is among the first in the nation to offer such substantial scholarships of this type.