Opamp Saturation between different manufacture part numbers
There is no way to predict what will happen when an opamp saturates, and no way to determine what will happen when it recovers (or how long it will take to get to normal). It is due to the internal workings of the amplifiers and their transistor stages, the schematics are not given out by the manufacturers as they are trade secrets. The manufacturers don't usually test opamps or normally list the  The best thing to do would be to get a rail to rail opamp.

Some other options are:


Increase the supply rails
Decrease the gain
Use a multi gain approach with two channels.


If you know that the sensor maxes current at 900uA, then size the system accordingly:

5V/900uA = 5555Ω