Mott type variable range hopping conduction has been observed in a wide temperature range (1.6 to 100 K) in several barely insulating single-crystalline samples of p-type compensated CuInTe2. In the less doped sample, a crossover to Efros-Shklovskii type variable range hopping conduction is found by lowering the temperature below 18 K, an unusually high temperature for this type of phenomenon. The crossover temperature Tc then deduced is not so far from that one can calculate.