The Rays have 10 days to trade, release or pass him through waivers, although he time with the Rays is over.
Lueke was 2-1 with a 0.72 ERA in 34 games for Durham. He made 11 appearances for Tampa Bay earlier this season, posting an 0-2 record with a 3.75 ERA.
Farnsworth, 37, signed a one-year, $1.25 million deal with the Rays this past offseason. He has a 5.76 ERA and after allowing two of the three D-backs he faced Wednesday to reach, he has allowed a .306 average and .828 OPS.