The connection between the right and left hippocampi is implicated in recognition memory. Demyelination in the hippocampal formation and fornix is an early event in Alzheimer's disease (AD). Preliminary studies from our group have shown demyelination in the hippocampal commissure both in animal models and in magnetic resonance imaging of AD patients, which could lead to abnormal oscillatory coupling between both hippocampi and diminished interhemispheric connectivity between the temporal lobes. Our objective was to analyze whether AD patients show alterations in oscillatory coupling between the temporal lobes. In this study, we performed connectivity analyses on public electroencephalogram (EEG) recordings in the resting state with closed eyes from AD patients and age-matched controls obtained from the OpenNeuro database (doi:10.18112/openneuro.ds004504.v1.0.6). We examined coherence-related parameters between temporal electrodes across different frequency bands, focusing on alpha, beta, theta, and gamma oscillations, to determine the most discriminative parameters between AD patients and controls. Our analyses revealed significant differences in wavelet coherence, cross-spectrum, mutual information, phase locking value and weighted phase locking index between T3-T4 and T5-T6 electrodes of AD patients and controls. Specifically, the wavelet cross-spectrum at 4-8 Hz and 13-30 Hz between T3-T4, and the weighted phase locking index were especially useful to differentiate AD and control recordings. These findings support that alterations in temporal lobe bilateral connectivity may serve as potential biomarkers for AD disease. These findings contribute to our understanding of the neurobiological mechanisms underlying AD and may have implications for the development of diagnostic and therapeutic strategies.