It is conjectured since long that for anyconvex body K∈ Rⁿ there exists a point inthe interior of K which belongs to at least 2n normals from different points on theboundary of K. The conjecture is known to be true for n = 2, 3, 4. Motivated by a recent preprint of Y. Martinez-Maure [4], we give a short proof of his result: for dimension n≥ 3 , under mild conditions, almost every normalthrough a boundary point to a smooth convex body K∈ Rⁿ contains an intersection point of at least 6 normals from different points on the boundary of K.