"Unless something happens to somebody, that's what it works out to be, up to the All-Star break."
Darvish, the 2013 Cy Young Award runner-up, who led the Major Leagues with 277 strikeouts, has been an All-Star selection each of his first two seasons, but has yet to make an appearance in the game.
"There's nothing I can say right now," Darvish (7-3, 2.39 ERA) said. "If selected or not, I will have a comment then."
With Monday's off-day, all Rangers starters, Darvish included, will pick up an extra day of rest. It's the Rangers' last off-day before the break.
Earl Bloom is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.