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TPS61161A: Can a different voltage from VIN terminal one be connected to power supply side of external inductor?

Part Number: TPS61161A

Hello guys,

One of my customers is considering using TPS61161A for their new products.
They have the following question at this moment. Could you please give me your reply?

Q. Can a different voltage from VIN terminal one be connected to power supply side of external inductor?  
     For example, we want to use TPS61161A in the following condition.
     VIN=3.3V, power supply side of external inductor = 5.4V~8.4V (2 cells of Li-Ion battery), ILED=30mA, Number of LED = 10pcs of white LED(Vf=3.6V(Max))

Your reply would be much appreciated. 

Best regards,
Kazuya.