We have investigated the effect of the current sweep rate (CSR) on the vortex dynamics in a superconducting bulk sample of Y1Ba2Cu3O7−δ. It has been found that the CSR has several effects on vortex motion in that it gives rise to enhancement of dissipation as the CSR decreases, significant time effects and instabilities in current–voltage (I–V) curves. Those anomalies are discussed in terms of depinning/pinning together with disorder in the coupling strength between the superconducting grains. In addition, for a given field and temperature domain, it is shown that the CSR together and a relevant current scale is of importance in the evolution of I–V curves.