TPS63802: Peak Current Output Capability

Part Number: TPS63802
Other Parts Discussed in Thread: TPS63806

Tool/software:

Hello,

I have an application where I'm boosting a 3.6V input to 5V output.
Typically the output current consumption is <1mA however I have peaks of 2.5A continuous that last a few seconds. 

I noticed that the description of this IC was that the output maximum is nominally "2A".  

Looking at Figure 10-2 of the datasheet it appears like I should be OK to draw 2.5A from the IC and still be within recommended operating specifications. Am I understanding this correctly?

If I attempt to draw more than ~2.6A I would expect the IC's current limit to kick in and not damage the IC. 

Am I understanding the functionality of this IC correctly? Any other gotchas? 

Thanks