  More than one hundred tidal disruption events (TDEs) have been detected at
multi-bands, which can be viewed as extreme laboratories to investigate the
accretion physics and gravity in the immediate vicinity of massive black holes
(MBHs). Future transient surveys are expected to detect several tens of
thousands of TDEs, among which a small fraction may be strongly gravitationally
lensed by intervening galaxies. In this paper, we statistically etsimate the
detection rate of lensed TDEs, with dependence on the limiting magnitude of the
transient all-sky surveys searching for them. We find that the requisite
limiting magnitude for an all-sky transient survey to observe at least $1$
yr$^{-1}$ is $\gtrsim 21.3$, $21.2$, and $21.5$ mag in the u-, g-, and z-bands,
respectively. If the limiting magnitude of the all-sky survey can reach $\sim
25-26$ mag in the u-, g-, and z-bands, the detection rate can be upto about
several tens to hundreds per year. The discovery and identification of the
first image of the lensed TDE can be taken as an early-warning of the second
and other subsequent images, which may enable detailed monitoring of the
pre-peak photometry and spectroscopy evolution of the TDE. The additional
early-stage information may help to constrain the dynamical and radiation
processes involving in the TDEs.

High Energy Astrophysical Phenomena;Astrophysics of Galaxies