<p>Leading hadronisation corrections to two-jet global event shapes amount to a shift in the corresponding perturbative distributions. It has been recently established that this shift depends significantly on the value of the considered event shape. These analyses consider perturbative configurations with only three partons emitting an ultra-soft non-perturbative gluon. These are dominant in the three-jet region. However, multiple soft and/or collinear emissions need to be considered to accurately describe event shape distributions near their Sudakov peak. In this region, non-perturbative shifts are usually computed by considering only two hard emitters. In this paper, we find that this approximation misses an important correction to the shift due to the presence of an additional soft wide-angle gluon, which can also be an emitter of the non-perturbative gluon. We then compute its contribution, and embed it in a general treatment for the shift that is valid both in the two-jet and in the three-jet region.</p>