Sunderland are 18th in the table and a point behind Newcastle United, over whom they have a game in hand. Allardyce said "controlled aggression" was the key to his team continuing their push for Premier League safety.
"You saw it in Tottenham, I think, on Monday night when they lost the plot. We can't afford to do that. We have to stay focused from start to finish," the manager was quoted as saying by the London Evening Standard.
"We want to be aggressive, yes, we want controlled aggression, passion, desire, commitment, yes. But we don't want to go over the top and lose control of ourselves."
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Sunderland have two home games against Chelsea and Everton before ending their campaign with a visit to Watford on May 15.
(Reporting by Nivedita Shankar in Bengaluru; Editing by Hugh Lawson)
