No to the 3/8" bearing. If you want 3/8" deep that is 9.525 mm. They list two bearings that are more or less than that. I don't see anything that is precisely what you want, but I may not have looked super hard:
TB870 - 9mm Depth - 22mm diam
9.525mm Depth -- What you want
TB760 - 10mm depth - 20mm diam