Perception and navigation frequently require us to maintain sensory information in memory, while also processing new sensory inputs as they arise. Recent fMRI research has uncovered regions in human frontal cortex that coordinate these diverse processes. Across various attention and working memory (WM) tasks, these regions can be separated into two distinct networks. Each shows a response preference for either auditory or visual stimuli, yet in addition, each can be flexibly recruited based on the information domain (i.e., temporal or spatial) of the task, regardless of sensory modality. Motivated by the sensory and functional specializations these networks display, we investigated whether dual-task interference is affected by similarity between the tasks in sensory modality (auditory or visual) and information domain. Participants performed a novel dual-task paradigm involving different combinations of WM and Intervening tasks, while two temporally sensitive physiological signals, pupillometry and electroencephalography (EEG), were measured. Convergent evidence from behavioral performance, pupil dilation amplitudes, and event-related potentials (ERPs) indicates that dual-task interference is greatest when the tasks match in both sensory modality and information domain. However, differences also arise in the patterns of dual-task interference across these metrics, highlighting the differential strengths and sensitivities of each. The results are consistent with increased interference when multiple tasks compete for shared cognitive control resources due to a common sensory modality or information domain.