Toronto manager Charlie Montoyo said he expects Biggio to be ready to return when he is eligible to come of the IL.
"It's real nagging," Montoyo said. "He gets loose and then he's fine, but then the more he plays, it gets too uncomfortable. The best thing for him is just take the 10 days so we can get rid of that pain and be ready to come back after 10 days."
Biggio was out of the starting lineup against the Tampa Bay Rays on Friday night with neck soreness but did pinch hit.
Montoyo said center fielder George Springer, out with a right quadriceps strain, is running sprints at around 50-60%. Springer needs to run the bases and go out on a minor league rehab assignment before rejoining the team.
Left-hander Anthony Kay and right-hander Jeremy Beasley were optioned to Buffalo.
The Blue Jays are struggling -- with and without Biggio. Saturday night, Taylor Walls hit a pair of doubles in his major league debut and the Rays won their ninth straight game, 3-1 over Toronto. Offense was light on both sides of the game, but Toronto managed just six hits and committed three errors en route to its fourth straight loss.
The Associated Press contributed to this report.