Brown sustained the knee injury in the FA Cup draw with Middlesbrough on Sunday.
Manager Martin O’Neill said: “We don’t think he needs the operation, but he will be two weeks in a brace, two weeks elsewhere and you are looking at probably about eight weeks before he is back.
“But at one stage, it looked like a season-ending injury.”
O’Neill has also revealed midfielder David Vaughan could be missing for several weeks after sustaining ankle ligaments problem during the same game.
O’Neill said: “David was feeling better today, but he is still very, very sore and the swelling is still up, and we are looking at a few weeks for him.”
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.