"That shoulder looks pretty bad," coach Rex Ryan said after practice Tuesday, according to ESPN New York. "We'll see how that goes, but it doesn't look good right now. We talked to him about it, too. He had the other shoulder (injury) before. But this one seems to be bothering him a lot more. This looks like a severe injury."
The 6-foot-1, 204-pound Evans caught 47 passes for 709 yards and nine touchdowns in 13 games with UCLA last season.
The Jets, which went 8-8 and finished in second place in the AFC East in 2013, open the season Sept. 7 against Oakland.
- Chris Johnson