House Speaker Brian Bosma and Senate President Pro Tem David Long say a repeal of the law is unlikely.
A historic home in Fishers moved to a new location Saturday.
The pilot program would provide $10 million in assistance to help low-income families send their children to preschool.
Both the House and Senate have passed a bill that would allow alcohol at the Indiana State Fair and now waits for Governor Pence to pass or veto it.
A proposed bill that would provide free spay/neuter services for Medicaid recipients died in the House last week.
House Joint Resolution 3 has been moved to a new committee after several members of the original committee said they were undecided on the issue.
Legislators are considering measures regarding same-sex marriage, state-funded preschool and trespassing on agricultural facilities.
Rep. Phyllis Pond, R-New Haven, resigned earlier this month after being diagnosed with pulmonary fibrosis.
Realty Trac data shows all-cash deals in Indianapolis hit 17 percent in June, which is up from 7 percent from June 2012.
Senator Dan Coats says he believes compromise between the House and Senate is possible on immigration reform, but it will require a key concession by senators.