Welding power supplies having adjustable current ramping rates are disclosed. An example welding power supply, comprising: a switched mode power supply to convert primary power to welding-type power having an output current based on a current control loop; a voltage sensing circuit to measure a weld voltage; a voltage comparator to determine whether the weld voltage corresponds to a welding arc condition or a short circuit condition; and a control circuit to: select a current ramping rate; and execute the current control loop to control the output current, the control circuit configured to, while the weld voltage corresponds to the short circuit condition, increase the output current at the current ramping rate.