A tube rolling plant (R) with multi-stand rolling mill having two or more rollers, for implementing a mandrel rolling process with controlled speed has a mandrel (31) which is inserted into the hollow body (39) from the frontal opening thereof by passing it first through the rolling mill (5). An opposite movement (L3) with respect to the rolling direction is imparted to the mandrel (31) by way of the hooking device (61) when rolling the hollow body (39) and the rear end of the rolled tube (42) is extracted at the end of the rolling operation.