LaSalle owned a 53-50 lead when Hollins hit his game-tying shot with 10:25 to play. The Gophers went on to win their 20th game of the season and set up a second-round meeting with Miami.
Rodney Williams led Minnesota with 21 points, Hollins had 15 and Austin Hollins added 14. Minnesota hit 52 percent from the field, but made only 1-of-11 from 3-point range.
The Gophers (20-14) suffered a four-point loss to Michigan in the quarterfinals of the Big Ten Tournament.
LaSalle (21-13), which did not make it past the quarterfinals of the Atlantic 10 tourney, was led by Earl Pettis with 19 points.