Adjunct material is provided that has multiple reservoirs formed therein and releasably carrying a plurality of vessels that each retain at least one medicant. An implantable adjunct has at least one bioabsorbable polymer configured to maintain the vessels within a reservoir. Disruption of the at least one bioabsorbable polymer allows release of the vessels from at least one of the reservoirs. A rate of the vessels' release can be controlled by a degradation rate of the at least one bioabsorbable polymer. The released vessels are, in turn, disrupted to thereby cause at least one medicant disposed therein to release and thus provide a desired effect on tissue in-growth.