Florida could erase some marijuana convictions if this bill passes. But thereâs a catch. âItâs the reality of passing legislation in the Legislature,â the billâs Democratic sponsor said. Â Updated 2 hours ago TALLAHASSEE â At first, the bill would have allowed nearly 195,000 Floridians to have most misdemeanor marijuana convictions erased from their criminal records. Then, the Senate sponsor amended the bill so it would have a better chance in the Florida House, which is led by Speaker Chris Sprowls. âI would like to go further, but I think to get this in a position to possibly pass the House, I think this is the best we can do,â said Sen. Randolph Bracy, D-Orlando, Senate Bill 468â²s sponsor.