The comprehension of the correlation between hand and gaze is important in HCI as it provides foundations to build rich and natural user experiences on devices. Despite the interest in describing this correlation in Internet-related activities, notably search activities, the studies that have been done so far only focus on the mouse as the proxy for the hand. Thanks to the touchscreen, tablets allow us to investigate the hand-eye correlation with direct touch input instead. We designed a gaze and touch data collection via a user study involving Internet-based tasks on a tablet in order to explore the data, detail the correlation between touch input and gaze, and in a further step, use these results to suggest a gaze prediction model based on touch and context.