Does magnetic field exist inside a current carrying coductor?

A current carrying conductor, such as a metal wire, will produce a magnetic field around it because of the motion of charge within the wire itself. This motion produces or sets up a magnetic field around the wire in the form of concentric circles. 

This electromagnetic effect is described in physics by the Biot-Savart Law, an experimentally deduced inverse-square law. The effect is also described by Ampère's Law, which is derived from the Biot-Savart Law. This law relates magnetic field and current. 

Also, a magnetic field that is set up by an electrical current will produce a magnetic force. This force depends on the rate of charge transfer and the magnetic field. 

The force produced by a current-carrying wire depends on the length, the magnetic field, and the current, which is the charge flow per unit of time.

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does the field produced due to the current carrying conductor exist inside the bulk of the conductor too?