For a ring R with an automorphism ${sigma}$, an n-additive mapping ${Delta}:R{ imes}R{ imes}{cdots}{ imes}R{ ightarrow}R$ is called a skew n-derivation with respect to ${sigma}$ if it is always a ${sigma}$-derivation of R for each argument. Namely, if n - 1 of the arguments are fixed, then ${Delta}$ is a ${sigma}$-derivation on the remaining argument. In this short note, from Bre$check{s}$ar Theorems, we prove that a skew n-derivation ($n{geq}3$) on a semiprime ring R must map into the center of R.