That distance should be approximately 6/64”, which is Fender's recommended spec on both the bass and treble sides. Adjust each bridge saddle accordingly, and keep in mind that string height can be set to whatever feels right for you. You can easily set your bass guitar's basic intonation.
Does bass pickup height matter?
Why Pickup Height Matters:
Set to the correct height, your pickup's magnets create a strong magnetic field that gives your guitar the tone that you love. Set too high, and your pickups can push and pull your strings out of tune. The Magnetic Field is not optimized when the pickup is set too low.