Superconducting critical fluctuation effects of a Bi-2212 single crystal with excessive-oxygen content are studied on the basis of magnetization data measured in the c-axis aligned magnetic field. It is found that in the low magnetic field H less than or equal to 9 kOe the magnetization data obey the 3D XY scaling, while the 3D Ginzburg-Landati/lowest Landau level scaling becomes more dominant for H > 9 kOe. This observation, which is also supported by the glass-like fluctuation analysis of the in-plane magneto-transport data. implies a suppression of the 2D fluctuation effect which has so far been reported for the Bi-2212 sample. This new characteristics is argued to be the consequence of interlayer coupling enhancement due to excessive oxygen content as manifested by the corresponding strengthening of C-axis coherent length. (C) 2001 Elsevier Science B.V. All rights reserved.