The proposed legislation says motorists who do not give cyclists the three-foot clearance could be fined up to $500.
Indiana isn't likely to follow the lead of four states which voted last week to raise the minimum wage.
The bill adds mobile gaming devices to off-track betting sites, eliminates taxes on free-play coupons and allows live-dealer games in racetrack casinos.
In an effort to pass right-to-work before the Super Bowl, the Senate will hold a committee hearing Monday -- likely with abbreviated public comment.
Other issues are crowding out talk about Sunday alcohol sales.
The new legislative session begins today, and the super bowl arrives in Indianapolis 32 days later. The combination is putting some bills on a fast track.