The three-time All-Star, who signed a one-year, $12 million contract with New York as a free agent on December 14, has played in only 28 games and is batting .219 with two home runs and eight RBIs.
Teixeira missed the first 53 games of the season because of a wrist injury. Both he and Youkilis returned from their previous DL stints May 31.
The switch-hitting first baseman got off to an encouraging start when he returned but has slumped to a .151 average with three home runs and 12 RBIs in 53 at-bats.
He left the team during its recent West Coast trip, went back to New York and received a cortisone shot Sunday. General manager Brian Cashman said Monday that Teixeira probably would be sidelined at least a week, and he was leaning toward putting the slugger on the DL.
The Yankees recalled outfielder Zoilo Almonte and right-hander Adam Warren from Triple-A Scranton/Wilkes-Barre and designated right-hander Chris Bootcheck for assignment.