We prove the consistency of: for suitable strongly inaccessible cardinal
λ
\lambda
the dominating number, i.e., the cofinality of
λ
λ
{}^\lambda \lambda
, is strictly bigger than cov
λ
_\lambda
(meagre), i.e., the minimal number of nowhere dense subsets of
λ
2
{}^\lambda 2
needed to cover it. This answers a question of Matet.