Using a sample of 67 galaxies from the MeerKAT International GigaHertz Tiered Extragalactic Exploration Survey Early Science data, we study the H I-based baryonic Tully-Fisher relation (bTFr), covering a period of ~1 billion years (0 =< z =< 0.081). We consider the bTFr based on two different rotational velocity measures: the width of the global H I profile and V_out_, measured as the outermost rotational velocity from the resolved H I rotation curves. Both relations exhibit very low intrinsic scatter orthogonal to the best-fitting relation ({sigma}_ortho_ = 0.07 +/- 0.01), comparable to the SPARC sample at z =~ 0. The slopes of the relations are similar and consistent with the z =~ 0 studies (3.66^+0.35^_-0.29_ for W_50_ and 3.47^+0.37^_-0.30_ for V_out_). We find no evidence that the bTFr has evolved over the last billion years, and all galaxies in our sample are consistent with the same relation independent of redshift and the rotational velocity measure. Our results set-up a reference for all future studies of the H I-based bTFr as a function of redshift that will be conducted with the ongoing deep SKA pathfinders surveys.