A wild rocket cultivar, designated 40-0801188-B, is disclosed. The invention relates to the seeds of wild rocket cultivar 40-0801188-B, to the plants of wild rocket cultivar 40-0801188-B and to methods for producing a wild rocket plant by crossing the cultivar 40-0801188-B with itself or another wild rocket cultivar. The invention further relates to methods for producing a wild rocket plant containing in its genetic material one or more transgenes and to the transgenic wild rocket plants and plant parts produced by those methods. This invention also relates to wild rocket cultivars or breeding cultivars and plant parts derived from wild rocket cultivar 40-0801188-B, to methods for producing other wild rocket cultivars, lines or plant parts derived from wild rocket cultivar 40-0801188-B and to the wild rocket plants, varieties, and their parts derived from the use of those methods. The invention further relates to hybrid wild rocket seeds, plants, and plant parts produced by crossing cultivar 40-0801188-B with another wild rocket cultivar.