Depends.
As the next poster said, the CLI will lower your overall utilization. How much depends on your situation. If you have a $2000 and a $1000 CC each at high utilization, adding a couple thousand dollars in total available credit could lower your utilization significantly by making the denominator of that fraction quite a bit larger.
OTOH, if you already have several thousand dollars' worth of CCs at low utilization, the change will be minimal, as boosting the available credit "denominator" of the utilization fraction won't alter the value of the fraction significantly.
