The USA would have had to outbid Mexico and Canada, but these CONCACAF countries will now surely face competition from heavyweights England and China.
"On the basis of equity I would have liked to have seen the rotation followed through by completing the process in the CONCACAF region in 2018," Blazer, the CONCACAF general secretary since 1990, told reporters after Monday's vote by FIFA's executive committee.
South Africa will host the 2010 World Cup, and FIFA is expected to award Brazil the 2014 World Cup on Tuesday. Under the new bid procedure, only countries from the continent that has hosted the last two World Cups will not be allowed to bid.
Blazer said that the new bid policy will ensure greater competition and therefore stronger bids. Brazil is unopposed in its bid for the 2014 World Cup.
"I think their bid would have been even better if they had faced some opposition," he added. "I think having more than one bidder pushes governments and private enterprise even further."