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From the entropy argument for the dS swampland conjecture which connects theGibbons-Hawking entropy bound with the distance conjecture, we find theentropic quasi-dS instability time given by $1/(\sqrt{\epsilon_H}H)\log(m_{\rmPl}/H)$ as the lifetime of quasi-dS spacetime. It depends on the slow-rollparameter, and contains the logarithmic factor $\log(m_{\rm Pl}/H)$ which canbe found in the scrambling (or decoherence) time as well. Such a logarithmicfactor enhances the geodesic distance of the modulus from the mere Planckscale, and also possibly relaxes the bound on $m_{\rm Pl}^2 \nabla^2 V/V$.

The entropic quasi-de Sitter instability time from the distance conjecture