(Automatic transversality, strip case) Suppose $\deg q-\deg p=n$. If $v_{1},\ldots v_{n}$ are $\mathbb{R}$-linearly independent at some point on $\partial\Sigma$ away from the two corners, then $v_{1},\ldots v_{n}$ span the space of all first order deformations, the obstruction space vanishes, and the moduli space is smooth at $u:\Sigma\to X$. Morever, the holomorphic strip is an immersion up to the boundary.