It is shown that gauge transformations, which modify the dimension of the field $\psi \mathrm{}\left(x\right)\mathrm{}$ in the Thirring model, leave invariant the anomalous dimension of the compound fields ${\phi }_{\pm }\mathrm{}\left(x\right)\mathrm{}$. The modifications of the operator-product expansion of $T\left(\psi \mathrm{}\right(x\left)\mathrm{}\overline{\psi }\mathrm{}\right(y\left)\right)$ required by the guage transformation are also presented.

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