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We have selected 14 J-dropout Lyman Break Galaxy (LBG) candidates with J110 -H160 > 2.5 from the NICMOS Parallel Imaging Survey. This survey consists of 135square arcminutes of imaging in 228 independent sight lines, reaching average 5sigma sensitivities of J110 = 25.8 and H160 = 25.6 (AB). Distinguishing thesecandidates from dust reddened star forming galaxies at z ~ 2-3 is difficult,and will require longer wavelength observations. We consider the likelihoodthat any J-dropout LBGs exist in this survey, and find that if L*(z=9.5) issignificantly brighter than L*(z=6) (a factor of four), then a few J-dropoutLBGs are likely. A similar increase in luminosity has been suggested by Eyleset al. and Yan et al., but the magnitude of this increase is uncertain.Comment: Accepted to ApJ Letter

A Search for Lyman Break Galaxies at z > 8 in the NICMOS Parallel Imaging Survey