  In this work, we investigate the effect of gravitational lensing on the
gravitational wave (GW) signals of a population of tidal disruption events
(TDEs). We estimate the number of lensed-magnified signals that we expect to
detect with future space-based GW observatories, in particular LISA and DECIGO.
We model the lens distribution using an hybrid approach that combines
semi-analytic methods with numerical results from ray tracing simulations. We
divide the TDE population in two classes, nuclear TDEs (main sequence stars
tidally disrupted by massive black holes in the cores of galaxies) and globular
TDEs (white dwarfs tidally disrupted by intermediate mass black holes in
globular clusters). We find that, even considering the effect of lensing, LISA
will not be able to observe any TDEs, while DECIGO could detect $\sim$16
strongly lensed ($\mu>2$) globular TDEs and $\sim$135 strongly lensed nuclear
TDEs, over an observational period of 10 years. Our results reveal the role
that lensing will play in future deci-Hertz GW observatories, indicating
exciting multi-messenger opportunities with TDEs but at same time signalling
the need to develop adequate data analysis techniques to correctly reconstruct
the astrophysical properties of the source.
