Launched at the start of November by a supporter of Assange, the British journalist Vaughan Smith, the project aims to raise £100,000 (126,000 euros, $157,000) by the start of January. By Friday, it had raised just under £20,000. If the scheme does not reach its target, it will not receive the money.
But even if the project, presented on online fundraising site Kickstarter, does not reach the overall figure, it will not collapse, according to Marco Benagli, a spokesman for the campaign.
"The crowdfunding was aimed at making small or very small donors contribute to the work," he said.
"We already have sustained the production costs until now but we will start another crowdfunding campaign this time on Indiegogo (another fundraising site) so to get part of the costs covered and still give to people a way to participate in the effort.
"Money is just a tool. We will not stop the project because of it."
The statue is described on the site as "a monument to courage" and is to feature lifesize bronze statues of WikiLeaks founder Assange, Snowden and Manning standing on three chairs "with a fourth empty chair for us".
Assange is currently holed up in London's Ecaudorean embassy in a bid to avoid extradition to Sweden.
Ex-National Security Agency (NSA) contractor Snowden was granted asylum in Russia after leaking a huge trove of information about US mass surveillance.
Manning is serving a 35-year prison sentence for the biggest document leak in US history.
