Pearson refused to make a long-term commitment to Brown, however, who remains in a precarious position with his side languishing near the foot of the Premier League.
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"Phil will be manager on Sunday but there's no point me saying he's got a job for life, that's not the case," Pearson said.
"We need results, quickly, and that puts pressure on everyone at the club.
"How secure is the manager? That's a tricky one, I think if we don't get results then that security goes down. Phil knows that, it's the business we're in. It's been a difficult year and we need to achieve results quickly."