Tomlinson insists that initial talks with government have been “positive” but now the process is entering a crunch period.
“With a good level of public support here, it could really help the government understand that this would be a right and proper action to take,” he added.
The Grove is located near Watford and is well placed to draw fans from the London catchment area.
The venue has staged a World Golf Championships tournament and boasts hotel facilities commensurate with those required for hosting an event such as the Solheim Cup.
Tomlinson refused to say that talks have reached an impasse, but admitted: “There is definitely a quandary at the moment with regards to whether or not the government can fund events like this.
“They have shown, whether it be from a world athletics perspective, whether it be from the women’s rugby perspective, that they are prepared to put their hands in their pocket for certain events.”
To stage a Ryder Cup in Europe would cost more than £400m but for the women’s version it is around £30m.
“We’re looking for circa £20m from the government to underwrite it,” Tomlinson said.
“And that’s to add to already a significant investment from both venue and ourselves and potentially other partners that we’d look to put money in.
“We’d like to think that it provides incredible value compared to other sporting investments that are a lot more sizeable than that, but it’s not an insignificant amount of money that we need.
“We need it to be underwritten quickly, so that we can truly move forward with our bid and secure the Solheim Cup.”
He added: “I think if we could get a positive answer within the next month or so, we would be able to secure the Solheim Cup to come to England.
“I don’t have the money right now; the bid doesn’t move forward. It could change tomorrow if I got the thumbs up, but it really is on a tight time frame.”
The government’s manifesto before the last election stated commitment to delivering international events and seeking new opportunities to inspire the next generation of talent while promoting exercise and healthy living.
BBC Sport approached the Treasury for comment and in response a spokesman for the Department of Media, Culture and Sport, said: “The UK has a world-leading reputation for hosting major sporting events and we want that to continue.
“Staging events on home soil captures imaginations, encourages participation and boosts local economies.
“We have a strong pipeline of events over the coming years from the Women’s T20 World Cup in 2026 through to supporting a bid to host the Fifa Women’s World Cup in 2035.
“Support for future bids will be based on a range of criteria including how far they help create social and economic benefits for the UK.”
