Ireland's Andrew White celebrates after hitting the winning runs

Scotland are already members of the Totesport league but Ireland's admission is unlikely before 2006.

"I think we are more than capable and beating Surrey certainly won't harm our credentials," said Molins.

"This win can only raise our profile and the third round game should attract lots of publicity."

However, ECB director of cricket operations John Carr ruled out the prospect of a place before 2006.

"Scotland were admitted to the Totesport League in 2003 for a period of three years with a review after that," Carr told BBC Sport.

"We made it clear at the time that no other claims within that period would be considered.

"For 2006 the whole structure is in the process of review in terms of competition formats."

The wins against Zimbabwe and Surrey are great, but they won't get us to the World Cup Jason Molins

After their second ever victory over county opposition, Molins stressed his side's sights are set on the international arena.

They were one match away from qualifying for the 1999 World Cup and defeated the Zimbabwe tourists in difficult batting conditions last year.

"There are lots of things we compete against like football, rugby and Gaelic sports but the interest is there," he added.

"The wins against Zimbabwe and Surrey are great, but they won't get us to the World Cup - that is the priority."

Surrey have won the County Championship three times in the last four years but Molins insisted he was always confident of victory after restricting them to 261 during a rain-affected first day.

"Obviously for a side like ourselves to come up against a full-time side of professionals like Surrey and beat them as comprehensively as we did is massive," he added.

"There are eight internationals in their team - six English and two Pakistani. For us to come up against that level and get a result is amazing."

Ireland face county opposition again when they host Northamptonshire in the third round of the competition.