Dielectric techniques, including thermally stimulated depolarization currents and isothermal discharging currents measurements in addition to classical dielectric relaxation spectroscopy, were employed to investigate molecular mobility in the poly(imide-amide)-poly(ethylene adipate) (PIA-PEA) hybrid materials with short (M n =1.300gmol - 1 ) PEA crosslinks. The techniques used covered together the frequency range from 10 - 4 to 10 6 Hz. Secondary relaxations, the primary α relaxation of the PEA component, interfacial polarization and dc conductivity were studied. Significant reduction of the magnitude and broadening of the response is observed for the α relaxation of the PEA component in the hybrids. The results obtained have been analyzed in terms of morphological characterization. They suggest appearance of long-range connectivity of the PEA component in the hybrids at PEA contents between 60 and 70wt%.