We present results concerning the existence of static electrically charged spheres made by a charged perfect fluid with polytropic equation of state that are arbitrarily close to a quasiblack hole configuration. The study is performed by solving the Tolman-Oppenheimer-Volkoff equation, by assuming that the charge distribution is proportional to the energy density. We search for compact equilibrium configurations and verify that the extremal limit for charged polytropic spheres, i.e., the quasiblack hole limit, is approached when considering high polytropic indexes and large charge densities.