Lincecum allowed three runs and four hits in an inning against the Los Angeles Dodgers on Tuesday during his first spring training start this year.
Yusmeiro Petit took his place Saturday. He had appeared in one exhibition game, throwing two scoreless innings.
Lincecum said he didn't think the injury was serious and said he planned to still play catch.
A two-time NL Cy Young Award winner, Lincecum went 10-15 with a 5.18 ERA last year and was shifted to the bullpen in the postseason.