We extend some results on almost Gorenstein affine monomial curves to the nearly Gorenstein case. In particular, we prove that the Cohen-Macaulay type of a nearly Gorenstein monomial curve in A 4 is at most 3, answering a question of Stamate in this particular case. Moreover, we prove that, if C is a nearly Gorenstein affine monomial curve which is not Gorenstein and n1, . . . , nν are the minimal generators of the associated numerical semigroup, the elements of {n1, . . . , ni, . . . , nν } are relatively coprime for every i.