<p>This paper investigates the oscillations of a lipid-coated bubble within a spherical liquid cavity. Here, the microbubble is excited by wall vibrations in vessel-like microfluidic platforms. The surrounding liquid is modeled as a compressible Carreau–Yasuda fluid, while a lipid monolayer represents the bubble shell. A rigid confinement encloses the liquid cavity. Two regimes are examined: cavitation and non-cavitation. The surrounding rigid wall is vibrated using either a single or dual frequency, and the effects of these approaches on the bubble volume and the deviation from incompressibility are analyzed. In all cases, the deviation from the incompressibility increases when the wall oscillation amplitude increases, or the cavity size decreases. Moreover, the importance of the shear-thinning behavior of the liquid and shell viscosity decreases the relevance of liquid compressibility effects in small cavities, in contrast to larger cavities. Notably, the amplitude of bubble oscillations under the dual-frequency approach can match that of the single-frequency approach, while requiring lower wall-vibration amplitudes. Since, higher wall amplitudes may cause bubble collapse, the ability to use lower amplitudes with the dual-frequency method enhances both efficiency and safety.</p>