  Let $ (G_n)_{n=0}^{\infty} $ be a non-degenerate linear recurrence sequence
with power sum representation $ G_n = a_1(n) \alpha_1^n + \cdots + a_t(n)
\alpha_t^n $. In this paper we will prove a function field analogue of the well
known result that in the number field case, under some non-restrictive
conditions, for $ n $ large enough the inequality $ \vert G_n\vert \geq \left(
\max_{j=1,\ldots,t} \vert \alpha_j\vert \right)^{n(1-\varepsilon)} $ holds
true.
