The running back is set to get the majority of the carries for the team in the early part of the season after Brown sustained a fracture on Thursday, which is likely to keep him off the field for six weeks.
The 22-year-old told the team's website: "I have the opportunity and, due to Dre getting injured, someone's got to do it. Going into it, it was mainly his job. We had a goal line package where he was the guy to go in and get those tough yards. Now he's out and I'm definitely going to have to step up and use all that stuff.
"I'm confident and I know I can do it. The main thing is to just go out there and do it. No matter what I think, people are going to judge off what they see, so I have to go out there, put it out there and let the coaches see it, let my teammates see it and I'll be in that situation more often.
"Like I said when I first came here, whatever the coaches need me to do. If they need me to kick a field goal, I'm going to go out there and give it 100% trying to kick a field goal. The carries or the workload, all that, is not a big factor for me. When I'm on the field I want to be effective and help my team win games."
Wilson recorded 358 rushing yards and scored four touchdowns during his first season in the league.