The safety has been placed on the season-ending injured reserve list after tearing his anterior cruciate ligament during the team's pre-season game against the New York Jets last weekend.
Speaking publicly for the first time since sustaining the injury, the 26-year-old told reporters: "I'm still trying to get my motion back and get all the swelling out. It's very disappointing. You work all summer getting ready for the season and just a freak accident like that to happen definitely sucks.
"I've talked to [cornerback Terrell Thomas] a few times. I was asking him about the different type of surgeries that he's had and the different surgeons that he's had. Just the whole recovery process. I know me and him are going to get together some time this weekend and talk a little bit more as well."
Brown made 72 tackles, two forced fumbles and eight interceptions for the Giants last season.