Reid told the Kansas City Star that Kelce "had it cleaned up" but didn't think the 27-year-old would be sidelined for too long.
"No, I don't think so," Reid said, via the newspaper. "He'll probably miss some time throughout the offseason, but he'll be ready, I believe, for camp."
Kelce was listed on the injury report in December with an ailing shoulder, but did not miss a game. He recorded a team-high 85 receptions for 1,125 yards and four touchdowns this season.