—In this paper we analyze the delay performance of a single user with perfect channel state information transmitting data over a wireless fading channel. We consider a dynamic resource allocation policy that maximizes average capacity by adapting transmission power, as well as a policy that adapts instantaneous bandwidth. Nakagami fading is assumed, and the impact of the fading parameter, m, as well as the channel quality in terms of signal-to-noise ratio on the mean queuing delay of transmitted data is analyzed. We show that resource allocation policies that achieve superiority over competing strategies in terms of maximizing average capacity do not necessarily result in superior delay performance.