Manager Dale Sveum added, however, that Wells should be ready to pitch out of the bullpen in the meantime.
"He'd be available by Tuesday, probably, in some capacity," Sveum said.
Wells pitched well for three innings Saturday night, not allowing a hit through the first three innings, before three walks in the fourth proved costly.
"That was an unfortunate outing," Sveum said. "For whatever reason, pitchers sometimes lose their release point. And it wasn't like he was barely missing, either. There were a lot of 55-footers. It could have been ugly, really. [Catcher Welington] Castillo did a good job of blocking a lot of really bad pitches."