A zero-shrinkage sintering process in which the shrinkage of x-y axis is controlled to be zero is in great demand due to the trend of high integration in the ceramic modules. Among the zero-shrinkage sintering processes that are available, the proposed glass infiltration method where the viscous but fluidic glass infiltrates of the $Al_2O_3$ particles in the structure of $Al_2O_3$/glass/$Al_2O_3$ during firing is one of the applicable methods. However, the above proposed glass infiltration method has the problem of the warpage-like delamination. This occurred at the outermost surface of the multiple-bundle substrate. It is thought that the decomposed gas rapidly expands in low viscous glass to create vacant space. To solve this problem, the vacant space was tamped with $Al_2O_3$ particles to lead to the actual improvement of the sintered properties. With 15 wt% of tamping $Al_2O_3$ particles in glass, most of the vacant space disappeared. Fully densified zero-shrinkage substrate without delamination can be obtained.