The use of Effective Field Theories (EFTs) in the search for NP is becoming more important given the lack of clear experimental signs of BSM physics. In particular, the Standard Model EFT (SMEFT) has become one of the most popular choices. Hence, the interest in revisiting EFTs is widespread in the community. On the other hand, the importance of chiral anomalies, either in gauge or global symmetries, cannot be overstated because of their phenomenological and formal importance. A natural question then arise: can higher-dimensional operators in an EFT generate gauge anomalies if the renormalizable part of the EFT is anomaly-free? We discuss whether dimension-6 operators in SMEFT can induce gauge anomalies. We find a negative answer and stress the importance of including all the relevant contributions in triangle-diagram computations. We provide arguments based on conserved currents and a more innovative derivation based on the construction of a bosonic EFT.