Pluri-polarity in almost complex structures

J-Holomorphic curves are −∞ sets of J-plurisubharmonic functions, with a singularity of LogLog type, but it is shown that in general they are not −∞ sets of J-plurisubharmonic functions with Logarithmic singularity (i.e. non-zero Lelong number). Some few additional remarks on pluripolarity in almost complex structures are made.