The answer is "yes".  See Corollary 2 on page 119 of Thurston's article *A norm for the homology of 3-manifolds*.

In fact, fibered knots fibre in exactly one way.  And all minimal genus Seifert surfaces (for a fixed fibered knot) are isotopic.

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Since Thurston's paper is not immediately and obviously available online (?), I googled around and found [A survey of the Thurston norm][1].  See Example 2.4 therein.

  [1]: https://arxiv.org/abs/2108.08645