The amp won't know what volume control is sitting behind it. There are a few considerations in selecting an appropriate level control.
1. The control has to drive your cable capacitance. You'll need to look up your cable's capacitance per foot, then consider the highest possible output impedance from your source, in combination with the highest output impedance of the control, then see how much high frequency roll off there will be from your cables. A calculator for this can be found here:
http://www.sengpielaudio.com/calculator-cable.htm You don't want any treble attenuation from your cable, so a 200kHz or higher corner would be nice.
2. Your control impedance must be high enough to not load your sources down. The general rule is at least 5X source output impedance, or 10X source output impedance, depending on who you talk to. Going higher than this does not present problems to your sources, going lower than this can load your sources down and degrade their performance.
3. Your control in conjunction with your source must be able to drive your amplifier. The highest output impedance of your source and passive control will be roughly the output impedance of the source plus 1/4 of the passive control impedance. In your case, this will be over 25,000 Ohms, and not suitable for driving a 10K load. Even with a 10K level control, you're still a bit on the high side for driving a 10K load.
This kind of analysis suggests that your amplifier would benefit from an active linestage, or a 5K passive control if your sources will permit it.