iPhone 5s / Klipsch X11i user. Will I benefit from portable DAC/amp?

[J4KE1010]

Hi Everyone,
 
I am new to the forum *Hi EVERYONE* and have my first question already.
 
Will a portable DAC/amplifier make much difference in my setup (iPhone 5s + Klipsch X11i)?
Or… will be the money well spend? I was thinking about ADL X1 or Sony PHA-1.
 
Thanks,
Jake