After his senior year, Tuiasosopo was selected in the 28th round of the 1997 MLB Draft by the Minnesota Twins, but chose to play college football instead.
Tuiasosopo accepted a football scholarship to the nearby University of Washington in Seattle, primarily because head coach Jim Lambright was one of the few that granted him the opportunity to compete at quarterback, rather than just at safety.
In the season's third week, he was called into action in a nationally televised home game against Nebraska, due to an injury to starter Brock Huard.
That year, he led the Huskies to a 6–2 conference record, finishing in second place to the Cardinal and earning the team a bid to the Holiday Bowl.
As a senior in 2000, he led the Huskies to the Pac-10 title and a 34–24 Rose Bowl victory over Drew Brees and the Purdue Boilermakers, and was named the MVP of the game.
[4] Marques played well enough to earn his first career NFL start the following week, but struggled, throwing for just 65 yards along with an interception before leaving the game with an injury late in the first half.
The team finished just 4–12 in the 2005 season with primarily Collins as the starting quarterback, paving the way for the younger Tuiasosopo to receive more consideration for the job.
[8] On January 23, 2017, Tuiasosopo was announced as the quarterbacks coach/passing game coordinator for the University of California, Berkeley under new head coach Justin Wilcox.
Their sister Leslie Gabriel, the eldest of the five siblings, played volleyball for Washington, trained with the U.S. national team, and as of 2024 was the Huskies head coach.
[14] Marques' younger sister, Ashley, played outfield for the Washington softball team and helped lead the Huskies to a national championship in 2009.