The question isn't particularly clear. I presume, you are talking about PMDC or separately excited DC machines.
Generally speaking, it's a matter of the controller topology. Motor current is equivalent to torque and motor voltage to speed. So at first sight, you'll set the motor voltage for a specific speed, or you'll even compensate the rotor resistance by a respective negative resistance.
If the controller uses speed feedback from an external sensor, you may be talking about an underlying (inner loop) controller, which can be possibly a current controller.