After the Browns ran for 215 yards in their 35-30 win, Beckham came to the realization the offense will likely have to run through Chubb and Hunt.
"For me, one of my biggest growths has come in acceptance, in a sense, and for me knowing it's probably not going to be that kind of season (with huge numbers)," Beckham said Thursday, according to Cleveland.com's Mary Kay Cabot.
"Like I always say, my goal is always going to be my goal, and I don't feel like I'm ever going to fall short of it," he continued. "Like I said, learning and acceptance, so you set new goals."
Beckham recorded 74 receptions for 1,035 yards and four touchdowns last year in his first season in Cleveland, all career lows for a full campaign.
The former New York Giants superstar may have to get used to similar numbers if the Browns plan to churn out games on the ground.
"Nick Chubb needs to be the No. 1 rusher in the league, or Kareem, too. You have two legitimate No. 1 backs in the backfield, and our team is very, very, very good at running the football, so you have to play to your strengths," Beckham conceded.
"Then I think you learn where you fit in and where you're able to make your plays and how you can help the team."