One of Webb's colleagues on the board, medical committee chairman Michel D'Hooghe, is likely to present a case for switching tournament dates to protect the health of the players.
"From a medical point of view, I can say we are concerned," D'Hooghe told the AP in March.
The Belgian doctor has worked for several years on a report documenting risks in playing football in extreme conditions, including heat, cold and altitude.
Much of the winter World Cup debate has centered on forcing wealthy European clubs and leagues, plus the Champions League, to alter their traditional schedules.
Webb acknowledged that some of his member leagues also would be required to change. Major League Soccer, which currently runs from March to November, is one of the least affected.
"No one likes change, but really if there needs to be an adjustment because of the World Cup, whatever is in the best interests of the game, is also going to be in the best interests of CONCACAF," the Cayman Islands official said.