Ampere’s law holds true for any closed loop of magnetic field containing constant electric current. The left hand side of Ampere’s circuital law

Where

μ₀ is the magnetic permeability of free space,

i is the current enclosed by the loop and B is the magnetic field

The above equation deals with a closed line integral along the path of the magnetic field. The line integral will not have a finite value if the loop is not closed. So, Ampere’s law will not hold for a loop that does not enclose the wire but it will hold for any shape of the loop even if it’s not circular.