The Lions released Asiata on Friday.
Asiata rushed five times for 10 yards in Saturday's preseason game against the Jets. He also caught one of two targets for nine yards.
Asiata's chances of making the final roster will depend on the health of the running backs ahead of him on the depth chart, Dave Birkett of The Detroit Free Press reports.
Asiata agreed to a one-year contract with the Lions on Friday, Chris Tomasson of the St. Paul Pioneer Press reports.
Asiata had eight carries for 14 yards and three receptions for 31 yards on three targets in Sunday's win over Chicago.
Asiata rushed six times for 34 yards and caught three of four targets for 30 yards in Saturday's loss to the Packers.
With teammate Adrian Peterson (knee/groin) ruled out, Asiata could be in store for an expanded role Saturday against the Packers.
Asiata (ankle) had just one reception for 20 yards and did not have a carry in Sunday's loss to Indianapolis.
Asiata (ankle) is officially active for Sunday's Week 15 tilt versus the Colts.
Despite being listed as questionable, Asiata (ankle) is expected to play Sunday against the Colts, ESPN's Adam Schefter reports.