Holt was placed on the 10-day injured list Tuesday with a strained left hamstring.
The 32-year-old appeared to be withheld from Tuesday's lineup against the Twins since lefty J.A. Happ is on the mound, but it turns out he's also dealing with an injury. The severity of the strain remains unclear, and Holt will be eligible to be activated May 13. Charlie Culberson figures to see increased playing time at third base in Holt's absence for the Rangers.