electromagnetism - How do we apply Ampère's law for non-planar loops?

How do we apply Ampère's (magnetism) law for non-planar loops?

Its most general form(or you can say the only one I know) is $$ \oint_C \mathbf B\cdot\mathrm d\mathbf l = \mu_0 \iint_S\mathbf J\cdot \mathrm d\mathbf S $$ But what would current enclosed mean in case of non planar loops. I mean infinite amount of curves can contain such loop. As a result while the right-hand side (line integral of B field) would same in each but the integral of current density would be different for each curve (surface or manifold).