Presence of Weyl node, nodal line or nodal surface in the band structure is a signature of topological gapless phase in a three-dimensional(3D) material. Here, we propose that Weyl triplons are expected to appear in the low energy magnetic excitations in the canonical Shastry-Sutherland compound, \ce{SrCu2(BO3)2}, a quasi-2D quantum magnet. Our results show that whena minimal, realistic inter-layer coupling is added to the well-established microscopicmodel describing the excitation spectrum of the individual layers,the Dirac points that appears in the zero-field triplon spectrum of the 2D modelsplits into two pairs of Weyl points along the Kz direction. Varying the strength of the inter-layer Dzyaloshinskii–Moriya(DM) interaction and applying asmall longitudinal magnetic field results in a range of band topologytransitions accompanied by changing numbers of Weyl points. We propose inelastic neutron scattering along with thermal Hall effect as the experimental techniques to detect the presence of Weyl-node in the triplon spectrum of this material.