Can you send in the specifications of your filter. It would really help us understand your requirement? Or atleast suggest what application you are using the filter for? If you are talking below 1KHz, is it for any biomedical application? Or is it for any other application?
If you want the minimum phase shift in the low frequency ranges, you will need a filter which has a constant phase shift. Only thing which meets to this requirements is an active integrator circuit which produces a constant 90 degrees phase shift. And moreover, if you want a very slow phase shift, your poles of the filter should be atleast 10 times 1 KHz, because where the phase changes starts at 1K.
I hope that I am clear......