Wilkerson, who skipped the voluntary portion of the offseason in the midst of a contract dispute, said Friday that he would make a decision over the weekend on whether to attend the minicamp.
"It's a business; I guess it takes a long time," Wilkerson said of a long-term contract extension. "This is new to me. But, hopefully, something will get done soon."
Wilkerson is entering the final year of his rookie deal after the Jets exercised their fifth-year option. He is due to make $6.9 million this year, but wants a long-term deal from the Jets.
If Wilkerson skips all three days of the minicamp, he could be fined more than $72,000.
Wilkerson has been working out with personal trainers in Atlanta and Maryland. He has kept in touch with teammates, going over play and defensive schemes with them. The Jets are installing a new system under coach Todd Bowles.
ESPN.com Jets reporter Rich Cimini contributed to this report.