A rolling bearing arrangement (1) of a shaft (2) of an exhaust-gas turbocharger (3) having two spaced-apart rolling bearings (4, 5), the inner rings (6, 7) of which are arranged on the shaft (2) and between which (6, 7) is arranged a spacer (8), and the outer rings (9, 10) of which are seated in a bearing bushing (12) which is fastened in a bearing housing (11); and having an oil supply device (13) arranged in the bearing housing (11), which oil supply device is flow-connected to an oil supply duct (14A, 14B) which is arranged in the bearing bushing (12) and which opens into an annular chamber (15). A check valve (16) is arranged in the oil supply duct (14A, 14B).