  The Generalized Uncertainty Principle (GUP) naturally emerges in several
quantum gravity models, predicting the existence of a minimal length at Planck
scale. Here, we consider the quadratic GUP as a semiclassical approach to
thermodynamic gravity and constrain the deformation parameter by using
observational bounds from Big Bang Nucleosynthesis and primordial abundances of
the light elements 4He,D,7Li. We show that our result fits with most of
existing bounds on \beta derived from other cosmological studies.
