Does the magnetic field from a current-carrying wire propagate at light speed?

[cragar]

I was told that fields don't travel. So if i have a wire with initially no current running and then i flip a switch to start some current, and I am at a distance x from the wire. Is the time lag from the wire at the speed of light before i feel the B field from the wire? Does the B field propagate out from the wire at the speed of light?
Any input will be much appreciated.

 

[shawl]

The field travels by the wave-type.

We do not say the B field propagate from the wire.
It is said that the B field is changing from 0 to some value in intensity, which is the result of the propagation of electromagnetic wave from the wire after you switched.