Anderson, 25, had a 1-4 record, three saves and a 6.04 ERA in five starts and 11 relief appearances in 2013. He was the team's Opening Day starter and ended up missing almost four months with an ankle injury.
Anderson has dealt with numerous injuries over the years, including strains to his elbow and oblique and undergoing Tommy John surgery in 2011.
Pomeranz dealt with left biceps tendinitis last season and was 0-4 with a 6.23 ERA. Jensen went 5-8 with a 4.55 ERA in 28 starts and 152 1/3 innings for Colorado's High Class-A affiliate last season.