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TPS563202: Input voltage being equal to or lower than target output voltage

Charlie D
Prodigy 245 points
Part Number: TPS563202
Other Parts Discussed in Thread: TPS562202,

I have a design where the TPS563202 (and possible alternate TPS562202) is configured to output 5V, and I want it to work with an input voltage range of about 4.5V to 16V.  I would like to know if there would be any possible issues when the input voltage gets close to or below the target voltage (so Vin from 5.5 to 4.5V). I suspect the behavior of this device would be for the high side MOSFET to be on 100% of the time, so with a typical resistance of 95 mOhm, Vout = Vin - 95 mOhm * current.  Therefore at 500 mA, voltage drop is only about 50 mV, theoretically.

Is this correct?  Are there any possible issues doing this?  I would like assurance that it is okay to operate the device like this before I go on with the design.  The datasheet doesn't speak to this mode of operation.

Thanks,
Charlie