In real-world tasks, visually guided manual actions are often performed in parallel with visual monitoring of the environment, creating competition for gaze. This study examined how participants coordinated gaze and hand movements while performing a manipulation task--grasping a small ball with either fingertips or tweezers and depositing it into a slot--while concurrently tasked with monitoring a display for probabilistically occurring letter changes. Gaze fixations away from the text display were exclusively directed to the ball and slot, and were temporally linked to key contact events (ball contact and slot entry). In fingertip trials, action-task fixations, when present, were brief and could support directing the hand using peripheral vision. In tweezer trials, action-task fixations were more frequent and helped both directing the hand with peripheral vision and guiding it with central vision. Participants identified and leveraged the temporal regularities in the monitoring task to reduce competition for gaze resources between tasks. Specifically, they adjusted both their gaze behaviour and hand movement timing to lower the likelihood that action task fixations would coincide with letter changes. These findings demonstrate how individuals integrate sensorimotor demands with environmental statistics to manage competition for gaze when concurrently acting on and monitoring the environment.