Image sensor size and the associated crop factor have to be defined for DoF calculators, because the crop factor affects the FoV a focal length delivers.
Using an online DoF calculator, compare the DoF delivered by a 100 mm lens, set to f/4 and a focus distance of 20 feet. Only change the crop factor (or camera used), and see how the DoF changes.
Even the difference between Canon APS-C 1.6x crop factor, and Nikon's 1.5x crop factor will alter the DoF at least a little bit. (Canon's APS-C size image sensors are slightly smaller than Nikon's APS-C size image sensors, which is why they have slightly different crop factors.)
Online Depth of Field Calculator