lower limit to lower feedback resistor value in a transimpedance amp?
The op amp input can only sink or source so much current, equally the amount decreases as it approaches the supply rails, (there is a resistance in the output), 

Once it reaches the point where it cannot swing any closer to the supply rail due to that resistance, you get distortion. 

edit: if your signal is bidirectional, there may also be cross over distortion, with these current levels its not an easy issue to work around, and may be improved by choosing an alternative op amp.