  We present a method to estimate the detection expectations of host galaxies
of long gamma-ray bursts (LGRBs) in the {\it grizJHKL} bands. It is found that
given the same limiting magnitude $m_{grizJHKL,\rm lim}$ in each band, the {\it
z} band produces the largest number of overall LGRB hosts and low-mass hosts
($M_\ast\leq10^8$ M$_\odot$) at $m_{grizJHKL,\rm lim}\gtrsim 26$ mag. For the
detection of high-redshift LGRB hosts (redshift $\geq5$), it is recommended to
prioritize the {\it L} band due to its good performance at both low and high
limiting magnitudes. We specifically estimate the expectation of LGRB-host
detection with $m_{grizJHKL,\rm lim}=28$ mag, which the James Webb Space
Telescope can partially attain. We find that there may exist 116, 259, 277,
439, 266, 294, 274, and 316 LGRB hosts, including 0.54, 31, 28, 143, 12, 20,
14, and 35 low-mass ones in the {\it grizJHKL} bands and 13, 14, 15, 14, and 15
high-redshift ones in the {\it zJHKL} bands, for 15 yr {\it Swift} LGRBs with
$S\geq10^{-6}$ erg cm$^{-2}$. The results show that the study of LGRB hosts
under next-generation observational conditions holds significant potential,
especially for low-mass host studies. However, it appears that deeper
sensitivities of galaxy telescopes may not significantly enhance statistical
studies of high-redshift hosts. Strategies aimed at increasing the number of
distant LGRB hosts may require the expansion of high-redshift LGRB detection.
