Flaherty (oblique) will throw one more bullpen session before facing live hitters, Zachary Silver of MLB.com reports.

The right-hander has been sidelined since late May with a strained left oblique, and he won't be eligible to be activated from the 60-day injured list until the start of August. Flaherty could advance straight to rehab games after the next bullpen session, and he'll likely need a few starts in the minors to ramp up before rejoining the Cardinals.

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