Human brain functioning is strongly affected by the factor of age, which crucially reduces a performance of the motor system. It causes a decline in reaction time, degraded ability to execute and control complex motor actions, low flexibility in learning new skills. A reduced daily activity old people combined with a cognitive and motor decline, usually result in a developed ambidexterity, i.e., the loss of a dominant limb advances. We suggest that such weakening of a dominant limb abilities and functioning on the neuronal level should be observed not only during the exact motor execution phase, but also in the motor initiation. In this paper we apply functional connectivity analysis to reveal the age-related changes in the integrative brain dynamic during the motor initiation before the dominant hand movements accompanied. Analyzing the whole-scalp electroencephalography (EEG) signals on the sensor level, we find higher theta-band coupling in the ipsilateral hemisphere.