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We confirm and expand on work by Chafin and Schaefer on hydrodynamicfluctuations in the unitary Fermi gas. Using the result for the equation ofstate from a recent MIT experiment, we derive lower bounds for \eta/n and\eta/s as a function of temperature. Re-analyzing recent quantum Monte Carlodata for the shear-viscosity spectral function we point out a possibleresolution for the tension between the viscosity bound \eta/n> 0.3 from Chafinand Schaefer and the quantum Monte Carlo results \eta/n<0.2$ from Wlazlowski etal. near the critical temperature

Implications of hydrodynamic fluctuations on the minimum shear viscosity of the dilute Fermi gas at unitarity