  We study a two-field model where a quintessence field with an exponential
potential $e^{-\beta\phi/M_P}$ is coupled to the Higgs field. It is claimed
that this model is consistent with the proposed Swampland conjecture. We check
this claim by calculating its inflationary observables. Although, these
observables are in good agreement with the latest CMB data, but we find an
upper bound $\beta \lesssim 8\times 10^{-3}$ that strongly disfavors the
Swampland conjecture.
