Sevilla came from behind to win 2-1 at Real Sociedad on Sunday and stay in contention for an unlikely La Liga title bid.
But they responded with two quick-fire strikes by midfielder Fernando and striker Youssef En-Nesyri in the 22nd and 24th minutes, and comfortably defended their lead in the second half to record a fifth win in six league games.
Sevilla are fourth in the table on 64 points after 31 games, three behind leaders Atletico Madrid who host Eibar later on Sunday. Real Madrid are second on 66 after 30 games and Barcelona third on 65 from 30 matches.
Sevilla have not won the Spanish title since 1946 and have not finished in the top two since 1957 but En-Nesyri dared to dream.
"We'll go all out to win the seven games we have left and try to win La Liga. We're going to fight for the title," he told reporters.
Julen Lopetegui's side visit Levante on Wednesday before home games against Granada and Athletic Bilbao. They travel to Real Madrid on May 9.