SLB-EXT Motor Power Question

I am looking to upgrade my CNC to something with larger Closed Loop Steppers and think they might be a little too much to use the motor power output from the SLB-EXT, each motor can pull up to 4 amps and the power supply for the SLB-EXT is rated to 10 amps

Will the SLB-EXT still work if I use a separate powersupply just for the motors ?

Thank you