According to multiple media accounts, Dempster missed Saturday's game because he didn't have a passport. The Rangers, who have not confirmed those reports, announced on Friday that Dempster had been placed on the restricted list due to personal reasons.
As a result, the Rangers have made some tweaks to their rotation for the upcoming week.
Right-hander Scott Feldman was supposed to start Monday, but he will be pushed back a day, as will lefty Derek Holland and Yu Darvish. The only starter who will pitch on normal rest for the week ahead is All-Star Matt Harrison, who gets the ball for Sunday's series finale in Toronto.
Manager Ron Washington said pitching coach Mike Maddux came up with a number of different scenarios, but ultimately felt it was best to give a few of his starters an extra day of rest.
One option included skipping Dempster entirely.
"We decided to stay in line and just give everybody a day," Washington said.
Taking Dempster's spot Saturday was veteran Roy Oswalt, who Washington said would be limited to roughly 75 pitches.
"He will let us know how far he can go," Washington said. "I'm hoping he can at least get through five [innings]. Get through five, we can manage the last four. If it's less than five, it will be rough."
Washington said everybody was available in the bullpen, which was likely to see plenty of action Saturday.