White-crowned Sparrow (Zonotrichia leucophrys) is a small sparrow in the Passerellidae family. It has a huge range across North American all the way from the northern tips of Alaska and Canada where it breeds to its wintering range in Central America.
A 2004 study by Rattenborg et al.  studied sleep in White-crowned Sparrows. They were found to sleep two-thirds less time during migration. What’s more, they found that the birds still performed well during a cognitive task, compared to their poorer performance at that task when sleep-deprived during a non-migratory period. Therefore, the White-crowned Sparrows in this study seemed to have some resistance to the effects of sleep deprivation during migration.
 Rattenborg, N. C., Mandt, B. H., Obermeyer, W. H., Winsauer, P. J., Huber, R., Wikelski, M., & Benca, R. M. (2004). Migratory sleeplessness in the white-crowned sparrow (Zonotrichia leucophrys gambelii). PLoS biology, 2(7).