  We present the ultralow-temperature specific heat and thermal conductivity
measurements on single crystals of triangular-lattice organic compound
EtMe$_3$Sb[Pd(dmit)$_2$]$_2$, which has long been considered as a gapless
quantum spin liquid candidate. In specific heat measurements, a finite linear
term is observed, consistent with the previous work [S. Yamashita $et$ $al.$,
Nat. Commun. {\bf 2}, 275 (2011)]. However, we do not observe a finite residual
linear term in the thermal conductivity measurements, and the thermal
conductivity does not change in a magnetic field of 6 Tesla. These results are
in sharp contrast to previous thermal conductivity measurements on
EtMe$_3$Sb[Pd(dmit)$_2$]$_2$ [M. Yamashita $et$ $al.$ Science {\bf 328}, 1246
(2010)], in which a huge residual linear term was observed and attributed to
highly mobile gapless excitations, likely the spinons of a quantum spin liquid.
In this context, the true ground state of EtMe$_3$Sb[Pd(dmit)$_2$]$_2$ has to
be reconsidered.
