Since Richard Scudamore, chief executive of the Premier League, revealed the plans three weeks ago, there has been widespread criticism including negative responses from heads of foreign football associations.
Fifa president Sepp Blatter made his feelings clear two weeks ago when he said that the plans would damage England's chances of holding the 2018 World Cup.
He described the idea as "an abuse of power" and "unacceptable" and branded the proposals "a joke at the end of carnival season".
Blatter added that the plans would "never happen" as long as he was president of Fifa, adding that the proposals to expand England's top division "only had business and money" as motivations.
Despite the strong opposition, the Premier League insisted that the meeting, which was supposed to take place on Thursday, had only been postponed.
The Premier League said in a statement: "The Premier League have been discussing their strategic global development with numerous professionals throughout the football world.
"It is our considered view following these discussions that we need to conduct further internal studies and consultation before seeking the advice of Fifa and the key confederations.
"This project is still very much in its infancy. We remain disappointed that these facts and many others were lost when early opinions were formed by many without any detailed knowledge.
"Having consulted with Fifa, we have decided to delay our planned visit while we conduct further work prior to addressing them and their confederations formally."