Winfield has a neck injury suffered in the game Sunday against Kansas City. Sullivan missed a few plays in that game with an injured left ankle, but returned to finish it. Kluwe has an injured hamstring.
The status of all three players for Sunday's game against Arizona is uncertain.
Four other Vikings were limited in practice Wednesday. Safety Husain Abdullah has a pelvis injury, linebacker E.J. Henderson and safety Jamarca Sanford have sore knees, and left tackle Charlie Johnson is nursing an injured elbow.