Oil sorbents play a significant role in the treatment processes of oil spills, therefore, enhancing the oil-water separation capacity of sorbents has been charming the consideration of scientific researchers. To improve the properties of oil sorption and simplify the process of oil recovery, many advanced oil sorbent devices have been projected recently. Different types of materials are used as sorbents for oil-water separation, however, up to now, there is no review paper focused on textile (woven, knitting, and nonwoven) sorbents, and compared with them. In this review paper, the classification of textile fabrics, properties of surface wetting, fabrication methods of textile sorbents for oil spill cleanup, their properties, and recent applications in the field of oil cleanup are studied. We believe this review can serve as an essential reference for the formation of textile sorbents, their properties, and their applications in the field of oil spill cleanup.