The Rangers already have Neftali Feliz and Derek Holland on the disabled list. Ogando, who had been pitching out of the bullpen, was starting on Sunday because Holland was placed on the disabled list Thursday due to a stomach virus.
"I feel bad, we need pitching right now ... the state we're in," Ogando said. "These are the kind of things that happen in baseball."
Ogando's next start is scheduled for Saturday against the Astros. If he can't go, the Rangers could either call up Michael Kirkman from Triple-A Round Rock or bring Robbie Ross out of the bullpen. Ross threw 45 pitches over four innings on Sunday.
"We've got contingency plans," Rangers manager Ron Washington said. "We'll sit down and talk about it. I can't give you and answer right now."
Roy Oswalt, who signed with the Rangers two weeks ago, is not likely an option. He is expected to make his third start in the Minors on Tuesday in Frisco. The Rangers decided on Sunday to have him pitch there rather than for Round Rock in Albuquerque.
Ogando, who retired all nine hitters he faced, did not hurt himself pitching. He hurt himself beating out a sacrifice bunt for a single while batting in the top of the fourth. Ogando came to the plate after Mitch Moreland and Craig reached on consecutive one-out singles.
Ogando pushed a bunt between third baseman Pablo Sandoval and pitcher Tim Linceum that neither could field. Ogando beat it without a throw but still came up injured.
"When the ball got past the pitcher, I sped up to beat it out and felt it midway," Ogando said.
Matt Harrison, who started Friday's game, went in to pinch-run for him. After Ian Kinsler's double gave the Rangers a 3-0 lead, Ross took over on the mound.
"We just have to wait and see what the doctor says," Washington said. "He wanted to stay out there but we weren't taking any chances."