We have calculated the femtoscopic correlation functions of meson-baryon pairs in the strangeness $S=-1$ sector, employing a unitarized chiral interaction model up to next-to-leading order. We will show preliminary results for the $\pi^-\Lambda$ correlation function, which is presently under analysis by the ALICE@LHC collaboration. We will also demonstrate that, within $2\sigma$, the employed interaction is perfectly capable of reproducing the $K^-p$ correlation function data measured by the same collaboration, without the need of changing the coupled-channel interactions, as has been suggested recently.