Goals from Jan Vennegoor of Hesselink and Geovanni secured just a second Premier League victory of the season for the Tigers on Saturday and lifted the club out of the bottom three.
Prior to beating Wigan, questions had started to be asked about Brown's future at the KC Stadium following a poor run of form.
Brown was happy to secure a confidence-boosting win over the Latics, but concedes Hull's position continues to be under the spotlight.
Uncomfortable"It was vitally important we started this run of games with a win," said Brown, whose side face Fulham, Portsmouth and Burnley when the league resumes in a fortnight's time.
"It gives you a bit of confidence to take into the next game - look forward to it rather than dreading it, which I think we have been.
"I think one or two have not been quite comfortable going across the white line.
"But does this take the pressure off? No, because there is still a long way to go.
"I understand the pressures of football, and management in general, is what it is.
"We are under the spotlight, but that is the deal, end of story."