We analyze the climatic relationship between the North Atlantic and North Pacific ocean basins by cross-correlating their primary low-frequency climate mode indices, Atlantic Multidecadal Variability for the North Atlantic and the Pacific Decadal Oscillation and the Victoria Mode for the North Pacific. These cross-correlations are then tested to determine if a robust internal connection exists. We use three methods to do so: 1) a bootstrapping statistical significance method testing the maximum value of the observed cross-correlation, 2) sensitivity testing by varying the starting date and period length, and 3) using a multi-model large ensemble to compare nearly 300 unique realizations of this relationship across six models. Our results all support that the relationship is indistinguishable from noise and thus that no robust internal relationship exists between the North Atlantic and North Pacific ocean basins.