  We investigate thick-brane solutions within the five-dimensional bumblebee
gravity in the presence of a real scalar field. Specifically, we implement the
Lorentz symmetry breaking scenario within this context and obtain brane-like
structures. Since the contribution of the bumblebee field is expected to be
weak, we solve the field equations in the small-parameter regime. In this
situation, we develop a first-order framework to describe the brane. The
results show that the function which drives the bumblebee field may engender a
lumplike structure whose shape depends on the parameters. On one hand, the
effect of the non-minimal coupling, controlled by $\xi$, between the bumblebee
field and gravity shifts the field from the vacuum expectation value. On the
other hand, the aether parameter, $\beta$, is responsible for modifying the
solution inside the brane.
