Typically, every year between June and August dust travels across the Atlantic. This example shows dust reaching Brazil, during the FIFA World Cup.
Million of tons of dust are transported from the Sahara across the Atlantic every summer. Over West Africa dust is lifted either through outflow boundaries of thunderstorm clusters and frontal systems penetrating deep into the Saharan belt, or through turbulence created by low-level easterly winds between a subtropical high and and low pressure in the Intertropical Convergence Zone (ITZC).
The images below show the dust cloud over the Atlantic on 24 June at 15:00 UTC, just before it reached South America. The Dust RGB shows the dust in medium (not dark) magenta colour, which indicates that the dust is travelling at mid levels (not low levels). The dust can also be seen in the Natural Colours RGB (brownish colour), at least the thicker parts of the dust cloud. The thinner parts are better seen in the Dust RGB product.
Animation of dust crossing the Atlantic, Meteosat-10 Dust RGB, 22 June 01:00 UTC–26 June 23:00 UTC (MPG, 23 MB)
Sahara flies transatlantic (YouTube)
Major Transport of Desert Dust
Summer dust outbreaks over the Atlantic
Dust-laden Saharan air over the Atlantic