Jeff Goodman of CBS Sports first reported the transfers.
Murray, a sophomore from Vancouver, British Columbia, played in 27 games last season and averaged 1.7 points in 6.6 minutes as a reserve for the Golden Bears. Murray scored a career-high 10 points and added five rebounds in 14 minutes during Cal's 81-45 win over Utah in January.
North Pole Hoops reported Murray would transfer to Seattle University, where he will have two seasons of eligibility after redshirting next year to meet NCAA transfer guidelines.
The Redhawks are coached by former UCLA player and Washington assistant Cameron Dollar.
Rossi played in only three games during his two years in Berkeley, sidelined by a sports hernia. The redshirt freshman made his debut against the Utes at home, scoring two points and collecting one rebound. Against Arizona State in February, Rossi had three points and one assist.
The transfers give the Bears extra flexibility if they choose to add additional recruits for the Class of 2012 when the late signing period begins Wednesday. Cal has already signed guard Tyrone Wallace and forward Kaileb Rodriguez and are in the final two for Los Angeles (Calif.) Price forward Kahlil Johnson.