  Recent paper by Nataraj {\em et al} (Phys. Rev. Lett. {\bf 106}, 200403
(2011)) presents calculations of the EDM enhancement factor for Tl, which
disagrees with previous most accurate calculations. The authors claim that
their calculations of Tl EDM are the most accurate due to more complete
treatment of higher-order correlations. In this note we argue that this claim
is not supported by sufficient evidence. Nataraj {\em et al} also present
misleading comments about our calculations. We explain our method and reply to
the Nataraj {\em et al} comments.
