He is expected to rejoin the team on Wednesday and make his scheduled start on Saturday night against the Tigers at Safeco Field.
Manager Don Wakamatsu said Snell had some family issues going on when the team was in Arlington and it might have affected his performance on Sunday.
Snell was rocked for four runs in the second inning, five runs in all, and absorbed the loss in the Mariners' 9-2 setback.
The velocity on his fastball was noticeably down from his previous start.
"I do think it did have an effect on him," Wakamatsu said. "We knew [about the personal matters]. There were two different incidents. There was one thing that happened a couple of days ago, and the one [death] that we didn't know about until after the game."