Turn off device when USB power is present
The relay coil will draw (5 V)/(125 &Omega;) = 40 mA.  If the rest of your device only draws 60 mA, then there should be no problem.  If the rest of the device draws more, then it has to negotiate for the higher current, and be prepared to shut down if it doesn't get it.

In practise, any desktop computer that runs from line power is very likely to always grant you the 500 mA.