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TPS62742: Input Voltage range wrt output voltage and current

Part Number: TPS62742

Hello, 

I am using TPS62742 for a battery operated circuit. The battery is single cell lithium thionyl chloride rated at 3.65V. My output voltage is 3.3V with a maximum output current of 150mA. 

Is 3.65V input voltage a safe range for such an application? 
I am asking because, in the datasheet (typical application circuit), the input voltage range is 4 -- 5.5V for a 3.3V load. However, in several graphs and from the Webench application circuit, a delta of 350mV is permissible.

Please let me know if such a system would work or is prone to failure. 

Please find attached my reference schematic. 

Thanks PWR_Management.pdf

TPS62742DSSR