The Denmark international defender admitted on Tuesday that his injuries had made him consider retirement but the Reds are taking "proactive" measures to keep him fit
The Denmark international has made 39 appearances in all competitions for the Reds this season, scoring four goals in the process.
However, he will be unavailable to manager Brendan Rodgers for the fixtures against Fulham and QPR, joining captain Steven Gerrard on the sidelines.
Agger has long struggled with a succession of knee and back troubles, undergoing surgery on a recurring spinal injury in 2009 and admitting on Tuesday that he had considered retirement.
The centre-back's latest treatment involves a stint of rehabilitation that could preclude him from pre-season training, although the club are yet to confirm the likely duration of his recovery.