The victory was their first since November and helped them climb out of the bottom three and up to 14th, only four points behind Blackburn.
There will be no surprises for Brown, with Rovers managed by his mentor Sam Allardyce, and he knows City must maintain their form with Blackburn looking to bounce back from the weekend's 3-0 defeat by Stoke.
He said: "People have made reference to the three home games - Wolves, Chelsea and Man City - but this is the biggest game of the season by a long way.
"We're going to go into the lion's den with a wounded animal. A 3-0 defeat against Stoke will be hurting Sam and certainly hurting his players so they're going to be up for it.
"They've got a tremendous home record so we're up against it, there's no doubt about it. He's a strong man, he's a strong manager and he's got a strong team.
"The fact we've come off three good results at home, we've got to put our best foot forward away from home and hopefully do sufficient to get our first win away from home."
Brown was particularly pleased with the displays of his front two, Jozy Altidore and Jan Vennegoor of Hesselink, on Saturday, with USA international Altidore scoring his first Premier League goal.
The 20-year-old, who took compassionate leave last month following the devastating earthquake in his parents' homeland of Haiti, has had a slow start to his Hull career but Brown is confident he can build on his performance against City, particularly because Blackburn will be without big defender Chris Samba following his red card against Stoke.
"He's come to the Premier League and hasn't really grabbed a hold of it but he's just settling down into some form and now he's got himself a goal so hopefully he'll go and express himself tomorrow night," said Brown of Altidore.
"Jan's unproven at Premier League level. It's always another step up coming to the Premier League in England I think and Jan's stepped up to that plate quite admirably.
"Now he's got a young man bustling and hustling alongside him, the both of them are causing centre-halves problems; therein lies the success.
"Chris Samba's a big, big miss for Sam. I know the way Sam likes to play the game and 6ft 4in is a big asset to him, and, with that missing, it's hopefully going to be an advantage to us."
Brown is hoping to name the same starting XI for a third consecutive match but must wait on Andy Dawson and George Boateng, who both picked up niggles on Saturday.
Geovanni (knee) is still out but Brown was boosted today by the presence of Jimmy Bullard at training.
The exuberant midfielder is closing in on a return after suffering another knee injury in December and could make his comeback against West Ham next weekend.
"He's getting very, very close," added Brown. "You don't want him to do too much too soon. Jimmy's the sort of character who wants that and it's difficult once he's loose to keep the reins on him. I can't wait to let the reins go."
Blackburn v Hull Clean Sheet: Hull 7/2
Source: Team Talk
Source: Team Talk