Wilkerson walked off the field midway through Sunday's practice due to the hamstring injury. The team was off Monday.
"He’s feeling OK, [the hamstring is] tight," Jets coach Todd Bowles said. "It’s day to day -- we’re gonna err on the side of caution."
Wilkerson was on the field at the start of Tuesday's practice, doing some light work in the rehab area.
Ridley, who joined the Jets from the New England Patriots during the offseason, remains on the physically unable to perform list coming off a knee injury.
"When we signed him, we knew it wasn't gonna be a rush," Bowles said. "We're not trying to rush him back, we're trying to get him healthy."