Peter McEvoy is hoping to wrestle more games from Old Trafford
Liverpool Cricket Club chairman Peter McEvoy hopes Lancashire's maiden Twenty20 Cup tie at Aigburth next week will be the first of many.
Lancashire Lightning's match against Leicestershire Foxes (22 June) is already a 4,500 all-ticket sell-out.
And McEvoy told BBC Radio Merseyside: "We constantly try to get Lancashire to bring more games to Liverpool.
"I think if we could get more one-day games we could attract lots of people from the Merseyside area."
Lancashire, who have other out grounds across the county, at Lytham, Southport and Stanley Park, Blackpool, have long since staged a well-supported annual County Championship game at Aigburth.
And Liverpool CC came to Lancashire's rescue during the floods of 2007 when they staged two matches.
But McEvoy believes that Twenty20 can attract even more interest on Merseyside and is confident of attracting bigger gates for future matches.
"We are talking to Lancashire now about 2010 and 2011 and we are trying to promote more games and certainly have more one-day games for Liverpool.
"The problem we have is one-day games at Old Trafford are also popular, so they like to keep as many of them in-house as they can.
"There is scope to get more in here," he added. "We were looking to go for about 7000.
"But, with the nature of Twenty20, they actually do play in the rain, and all the seating for health and safety reasons has to be covered.
"Fortunately we've sold out but, unfortunately, we could have had a few more in there.