A trail is a walk on a lattice that may visit a site more than once bu
t a bond at most once. We have carried out transfer-matrix studies of
trails on the square lattice and of hybrid walks that interpolate betw
een self-avoiding walks and trails. The results are in agreement with
the same universal exponents as self-avoiding walks. However, the fini
te-size corrections are much larger than for self-avoiding walks. An e
xplanation in terms of an irrelevant variable with scaling index y(u)
= -11/12 is given.