  On October 1, 2019, the IceCube Collaboration detected a muon track neutrino
with high probability of being of astrophysical origin, IC191001A. After a few
hours, the tidal disruption event (TDE) AT2019dsg, observed by the Zwicky
Transient Facility (ZTF), was indicated as the most likely counterpart of the
IceCube track. More recently, the follow-up campaign of the IceCube alerts by
ZTF suggested a second TDE, AT2019fdr, as a promising counterpart of another
IceCube muon track candidate, IC200530A, detected on May 30, 2020. These are
the second and third associations between astrophysical sources and high-energy
neutrinos after the compelling identification of the blazar TXS 0506+056. Here,
the search for ANTARES neutrinos from the directions of AT2019dsg and AT2019fdr
using a time-integrated approach is presented. As no significant evidence for
space clustering is found in the ANTARES data, upper limits on the one-flavour
neutrino flux and fluence are set.
