The Next Linear Collider(NLC) will provide a excellent tool for probing the detailed nature of the top quark. By extending the recent analysis of Dokshitzer, Khoze and Sterling, we perform a preliminary examination of the influence of an anomalous chromomagnetic moment for the top, \(\kappa\), on the spectrum of gluon radiation associated with \(t\bar t\) production. In particular, we analyze the sensitivity of future data to non-zero values of \(\kappa\) and estimate the limits that can be placed on this parameter at the NLC with center of mass energies \(\sqrt {s}=\) 500 and 1000 GeV.