Hydrogels can serve as local drug delivery depots that protect the biological activity of labile therapeutics. However, drug release from conventional hydrogels is typically rapid, which is not ideal for many therapeutic agents. We developed a composite hydrogel that enables sustained drug release in response to ultrasound. The composite, termed an acoustically responsive scaffold (ARS), consists of a fibrin hydrogel and a phase-shift emulsion. Upon exposure to ultrasound, the emulsion is vaporized into bubbles, which leads to release of drugs contained within the emulsion. Previously, ARSs have been used in regenerative applications to stimulate blood vessel growth. Here, we characterize the release kinetics and mechanisms of ARSs. Release exhibits a triphasic pattern compromising a slow phase prior to ultrasound exposure; a transient, fast phase immediately after ultrasound exposure that follows a sigmoidal profile; and a sustained, steady phase. In each phase, we demonstrate how derived kinetics parameters are impacted by the ARS composition (e.g., fibrin and emulsion concentrations) and ultrasound properties (e.g., acoustic pressure, pulse duration). Using confocal microscopy, protein assays, and B-mode ultrasound imaging, we demonstrate that drug release from an ARS is independent of fibrin degradation and dependent on bubble growth. These results are critical in optimizing ARSs for delivery of therapeutic agents.