The neutron-star low-mass X-ray binary Aquila X-1 was observed by Suzaku seven times, from 2007 September 28 to October 30. The observations successfully traced an outburst decay in which the source luminosity decreased almost monotonically from similar to 10(37) erg s(-1) to similar to 10(34) erg s(-1), by similar to 3 orders of magnitude. To investigate luminosity-dependent changes in the accretion geometry, five of the seven data sets with a typical exposure of similar to 18 ks each were analyzed; the other two were utilized in a previous work (Sakurai et al. 2012, PASJ, 64, 72). The source was detected up to 100 keV in the second to the fourth observations, to 40 keV in the fifth, and to 10 keV on the last two occasions. All spectra were reproduced successfully by a Comptonized blackbody model with relatively high (greater than or similar to 2.0) optical depths, plus an additional softer optically-thick component. The faintest three spectra were reproduced alternatively by a single Comptonized blackbody model with a relatively low (less than or similar to 0.8) optical depth. The estimated radius of the blackbody emission, including seed photons for the Comptonization, was 10 +/- 2 km at a 0.8-100 keV luminosity of 2.4 x 10(36) erg s(-1) (the second to the fourth observations). In contrast, it decreased to 7 +/- 1 km and further to 3 +/- 1 km, at a luminosity of (4.8-5.2) x 10(35) erg s(-1) (the fifth observation) and similar to 2 x 10(34) erg s(-1) (the sixth and seventh), respectively, regardless of the above model ambiguity. This can be taken as evidence for the emergence of a weak magnetosphere from the neutron star.