Veteto scored on a layup to put Sacramento State (8-6, 3-3 Big Sky) ahead at 39-37 with 13:32 left in the game.
The score stayed close after that, and a bucket by Venky Jois put Eastern Washington (4-12, 2-4) ahead 53-52 with 2:23 left.
A pair of free throws by Veteto with 1:47 put Sacramento State in front to stay.
Time is running out for coaches to evaluate 2017 prospects. What did we learn in the past week that will make an impact on the final week?
Some Big Ten coaches, such as Minnesota's Richard Pitino, sit squarely on the hot seat. Others, such as Michigan State's Tom Izzo, are untouchable. How do they all stack up?
The usual heavy hitters and a few surprises are in the running for the five-star shooting guard.