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Behavior of LDO if Vin < Vout

My question is, how LDOs, especially the TPS71701 behave, when the input voltage goes below the nominal output voltage. Does the output follow the input voltage?

As far as I understood the only restriction is the RDSon of the PMOS.

In my application the powersupply can varry from 4.75 to 6.5V (nominal 5V) and nominal outputvoltage should be aprox 4.85V

I miss this diagram in the datasheet.

 

Best regards,

Hermann Mayerhofer