This case study evaluates the seasonal variability of the Pearson's linear correlation coefficient of land surface temperature (LST) with some spectral indices like NDVI, NDWI, NDBI, and NDBaI by using a series of Landsat images for 1991–92, 1995–96, 1999–00, 2004–05, 2009–10, 2014–15, and 2018–19. The results from the average correlation of the entire period of all-season show that the LST builds a positive correlation with NDBI (0.71) and NDBaI (0.52) while it builds a negative correlation with NDVI (−0.44). The LST-NDWI correlation is insignificant. The best correlation is noticed in the post-monsoon period, while the least correlation is observed in the winter season. This study can support the environmental planning to build a sustainable city under a similar environment.