There's less of a chance the special session will include legislation to provide more early reading funding that cities have requested, but Williams and Amann did not rule out the possibility of a compromise on the issue with Republican Gov. M. Jodi Rell.
"Unless there's an agreement between the governor and all of us, if you open up the door a lot more are going to rush in," Amann said, noting that members of the majority caucus would like to bring up as many as 20 other issues.
"We have to be careful about what we say yes and what we say no to," Amann said.
The two leaders said they do not intend to reopen the $18.4 billion budget set to take effect July 1 after the governor and Democrats agreed to make no changes to the second year of the biennial budget approved last year.
The Connecticut Conference of Municipalities praised the special session because its member towns and cities depend on the revenue.
"Successfully extending -- as soon as possible -- the present municipal share of the real estate conveyance tax will provide significant fiscal relief for municipal budgets before they start up on July 1," said Kevin Maloney, spokesman for the CCM.
The tax, opposed by the state real estate industry, adds about $400 to a transaction when a house worth about $300,000 is sold.
Senate Minority Leader John McKinney, R-Fairfield, whose district extends into Newtown, said the state economy doesn't need a two-year extension of the tax, which will end July 1 if the legislature doesn't act.
"Democratic leaders once again are raising taxes at a time when Connecticut residents can least afford it," Mc-Kinney said.
"To raise the conveyance tax and flatly reject viable tax relief proposals is to ignore the struggles of families and small businesses whose incomes are not keeping pace with the rising cost of living and working here."
Republicans have offered an early retirement incentive program for about 4,200 state employees in an attempt to make up the difference.
"Our proposal is a win-win for everyone and deserves serious consideration from Democratic lawmakers," McKinney said.