Attendances have dropped in recent years while an expected promotion push with manager Neil Warnock at the helm has failed to materialise under current owners GFH Capital, who completed a protracted takeover of the club in December.
"The crowd here can obviously get a little bit frustrated because the level of expectation here is massive," White said.
"The club, over the last seven or eight years, have gone from Champions League to Championship and League One even, so it's frustrating for them.
"It's also frustrating as a player and we need the crowd right behind us. It doesn't help when they start booing and stuff.
"But it's a two-way thing. If the crowd can get behind us, especially on a Saturday, get 30,000-plus there and we give them something to cheer early on, it can only help us massively as a team.
"A full Elland Road getting behind the Leeds players, when it happens there's no better feeling."