The convective boundary conditions are not classified as Neumann boundary conditions. They describe the transfer of heat or mass through a boundary due to the fluid flow and are therefore classified as Robin boundary conditions.
In contrast, Neumann boundary conditions describe the flux or gradient of a quantity perpendicular to the boundary.
I think from the answers that the topic requires some details.
If you write a scalar equation in the normal direction to the outflow, you can write approximately something like (d/dt +vn*d/dn) f= d/dn(alpha*df/dn).
Setting to zero the diffusive flux in the RHS is equivalent to prescribe a homogeneous Neumann BC and produces a convective-like BC.
This approach is largely used, for example in Fluent.