Inside linebacker Joe Mays practiced Wednesday on a limited basis.
Chiefs coach Andy Reid said Mays, who was placed on injured reserve with a designation to return before the season with a wrist injury, is likely a long shot to play Sunday.
“Our docs thought it was time to get him back doing football things,” Reid said. “But we're going to take it nice and slow with him.”
The Chiefs now have three weeks to add Mays, who wore a brace on his wrist, to the active roster. If they don't, then he reverts to regular injured reserve and he'll be done for the season.
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His replacement, Josh Mauga, has fared well in his absence. In seven starts, Mauga has racked up 47 tackles and a pass deflection.
Cornerback Jamell Fleming and Josh Martin did not practice Wednesday due to hamstring strains. Reid said both are day to day.
Cornerback Chris Owens, who has missed the last two games with a knee injury, and safety Eric Berry, who has missed the last five games with high ankle sprain, did practice.
Reid also said Donnie Avery (groin) will miss Sunday's game against the Jets. It will be the fourth consecutive game he's missed with his injury.