We have been monitoring the supernova remnant (SNR) 1987A with {it Chandra} observations since 1999. Here we report on the latest change in the soft X-ray light curve of SNR 1987A. For the last $sim$1.5 yr (since day $sim$8000), the soft X-ray flux has significantly flattened, staying (within uncertainties) at $f_{rm X}$ $sim$ 5.7 $times$ 10$^{-12}$ erg cm$^{-2}$ s$^{-1}$ (corresponding to $L_{rm X}$ $sim$ 3.6 $times$ 10$^{36}$ erg s$^{-1}$) in the 0.5--2 keV band. This remarkable change in the recent soft X-ray light curve suggests that the forward shock is now interacting with a decreasing density structure, after interacting with an increasing density gradient over $sim$10 yr prior to day $sim$8000. Possibilities may include the case that the shock is now propagating beyond a density peak of the inner ring. We briefly discuss some possible implications on the nature of the progenitor and the future prospects of our {it Chandra} monitoring observations.