McCray, who started 10 games for Dallas last season, finished second on the team with a career-high 87 tackles.
Barry Church is penciled in as the starter, but he's coming off a torn Achilles injury. The Cowboys also recently signed veteran Will Allen and Matt Johnson, who missed his entire rookie season with a hamstring injury.
McCray was one of the Cowboys' better special teams players, finishing second on the team with 18 tackles.
Dallas has the 18th overall pick in the NFL draft.