FA vice-chairman David Gill claims that England could bid for the 2030 World Cup if FIFA is able to prove that the bidding process is transparent.
FIFA revealed last week that the decision on the hosting of the 2026 tournament will be made in 2017, when Blatter is still likely to be FIFA president.
However, if everything is conducted fairly -- the vote will no longer be in the hands of FIFA's executive committee but a poll of 209 member nations -- Gill insists that England will be among the contenders again, assuming the 79-year-old Blatter has stepped aside.
"We should see how that process goes," Gill, who was also voted in as a FIFA vice-president last week, told The Times. "That will be in 2017 and, yes, if the process is fair and appropriate, then we should think about a bid.
"It takes a lot of work -- Government, local authorities, the FA, clubs -- and we know from past experience that we need to be sure what we are getting into.
"But the change to the voting is one way that FIFA appears to be improving its governance. If we can have confidence in the new system, we all know it is almost 50 years since England hosted the World Cup."
Dyke said recently that England may target Euro 2028, but the country is already hosting the semifinals and final of Euro 2020.
The United States are favourites to be named as hosts of the 2026 World Cup, while Asia cannot bid as Qatar, an Asian federation country, is hosting the 2022 tournament and Europe has 2018 in Russia.