Summary: In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator \(T\) and some \(p\), \(1<p<\infty\), we look for operators \(\mathcal{M}\) such that the inequality \[ \int |Tf|^pw\leqslant C\int |f|^p\mathcal{M}w, \] holds true for any weight \(w\). Specifically, we are interested in the case of \(T\) being any first or second order Riesz transform associated to the Schrödinger operator \(L=-\Delta+V\), with \(V\) a nonnegative function satisfying an appropriate reverse-Hölder condition. For the Riesz-Schrödinger transforms \(\nabla L^{-1/2}\) and \(\nabla^2L^{-1}\) we make use of a result due to C. Pérez [J. Lond. Math. Soc., II. Ser. 49, No. 2, 296–308 (1994; Zbl 0797.42010)] where this problem is solved for classical Calderón-Zygmund operators.