We show that if the arc-connectivity of a directed graph D is at most
⌊2k+1⌋ and the reorientation of an arc set F in D
results in a k-arc-connected directed graph then we can reorient one arc of
F without decreasing the arc-connectivity of D. This improves a result of
Fukuda, Prodon, Sakuma and one of Ito et al. for k∈{2,3}.Comment: 8 page