A set of porous copolymer samples (VP-TRIM, VP-DVB, and VP-DMN) under mechanical stress up to 1.3 GPa was studied in situ using positron annihilation lifetime spectroscopy. A few stages of porosity evolution dissimilar in changes of the pore size distribution (PSD) were observed. At low pressure, the maximum of PSD and the pore volume decreased, indicating pore shrinkage. Simultaneously, the fast decrease in the width of PSD shows that the size of the largest pores is mostly reduced. In copolymers in which the number of relatively weak ester bonds is significant, an additional stage exists at 40−70 MPa. In this range, the trend of the changes in the width of PSD versus pressure is reversed, indicating pore reorganization (probably, they connect with each other). Above a certain pressure (0.2−0.5 GPa), both the maximum and the width of PSD stabilize at minimal values, ca. 1−2 nm. These values as well as the stabilization pressure are specific for each polymer. Pore collapse is observed in a high-pressure range, where only the pore volume decreases. The pores are completely closed at 0.8−1.3 GPa (depending on the polymer), but their porosity is greatly recovered after pressure release. The size and volume of the pores after porous polymer squeezing depend on the maximal exerted pressure.