We build a natural derivation on Jacobi forms that extends Serre derivation. Our construction has been influenced by a construction of some differential operator by Oberdieck and hence we call this derivation the Oberdieck derivation. The aim of this very short note is to give details yhis Oberdieck derivation. This is an unpublished companion to the work Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets by the same authors.