It is well known that for standard Brownian motion { B(t) t≥0} with values in Rd its convex hull V(t)=conv≥ B(s), s≤ t≤ with probability 1 contains 0 as an interior point for each t> 0 (see Evans, 1985). The aim of this note is to state the analogous property for d-dimensional fractional Brownian motion.