Mehr,
Im sure that the conversion could be done. Think about this:
if they can use voltages to convert to frequencies (Voltage controlled oscillators), then it makes sense that you can do the same with current.
its been a long time that i've dealt with op-amps, but I think that there might be a configuration out there that takes a current input and gives an amplified voltage output.
(Current to voltage amplifier). But, theres a problem with such a small current signal--noise. You must clean up any noise. If this could be done, then use the current to voltage amplifier, then use the voltage output to drive a VCO. The output of the VCO is a sinusoid (Sine wave), whose frequency changes according to the input voltage.
Good Luck.