The tight end, who joined the Jets on a one-year contract earlier this year, is yet to catch 100 passes in a single season during his nine-year career in the league.
The 29-year-old told the New York Daily News: "I averaged around 72. My job is to just make plays. When it comes my way, just make the play.
"I can exceed that. My goal is always to catch 100 balls. Haven't done it yet, but that's my goal. I want to come close."
Winslow made 89 receptions for the Cleveland Browns in the 2006 season.