Millwood left Wednesday's start at the Chicago White Sox in the second inning after injuring the same groin that landed him on the DL for 18 days in May. The 33-year-old is 6-6 with a 5.40 ERA in 20 starts.
It is the seventh career trip to the DL for Millwood, second on the Rangers staff with 108 1/3 innings pitched.
Laird went on the disabled June 21, a day after straining his right hamstring while running the bases against Washington. It was Laird's first trip to the DL since a two-month stint in 2004 when he tore a left thumb ligament after making the team in spring training. He didn't come back to the big leagues full-time until 2006.
This year, Laird is hitting .306 with four home runs and 25 RBIs in 51 games. He hit safely in 12 of 13 games before the injury and had a .435 batting average during that span.
Laird went hitless in 12 at-bats with two RBIs during a four-game rehabilitation stint with Triple-A Oklahoma.
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Rangers place Millwood on 15-day disabled list