Smith was sacked by lowly Villa at the weekend after a poor run of form that saw them lose their last five matches.
Potter has impressed at the Amex Stadium this season and his entertaining brand of football has helped Albion to a lofty seventh in the league standings after 11 matches.
Potter, 46, was previously linked with the Newcastle and Tottenham roles but continues to state he is happy at Brighton, where he receives the full support of his chairman Tony Bloom.
The Albion man however is not the only contender for Villa Park with former Chelsea boss Frank Lampard also in the running along with Rangers manager Steven Gerrard.
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