A total of 1,980 fans responded to the survey and stated which league their club plays in.
Results from the survey found fans of all levels overwhelmingly support the principle of three up, three down between the National League and EFL League Two with most indicating they believe it would enhance the football pyramid.
Around this time last month, the National League launched its 3UP campaign - with the backing of all 72 of its Member Clubs - requesting a vote by EFL clubs to introduce an additional promotion place from the National League into EFL League Two.
National League CEO Mark Ives said: “We welcomed the FSA conducting this survey and now note the fans' opinions with interest.
"We believe the 3UP campaign goal is vital to the overall health of the game. It's highly encouraging to see that fans of all divisions appear to feel the same - we have always believed that to be the case.
We also think that 3UP ties directly into the government’s overall objectives for football and therefore should be as high on the game's agenda as anything else this year - and not linked to wider regulatory matters that could potentially take years to conclude.
“We are lucky to have one of the best domestic football structures in the world but hopefully there is now the opportunity to make it even fairer by introducing 3UP."
Fans of Premier League or EFL clubs
Timings