The bill's sponsor is U.S. Sen. Jim Bunning, R-Ky., whose career as a major league pitcher earned him a place in baseball's Hall of Fame, reports USA Today.
He said he is "positive" the Senate will approve his bill this week. He is also meeting with House sponsors of similar bills to get the measure quickly to President Bush.
The bill, if approved, would cover professional baseball, basketball, football and hockey, but baseball has been the primary focus of congressional pressure, the report said. House Speaker Dennis Hastert, R-Ill., is urging sponsors of various bills to reach a compromise for quick action.
Notable deaths of 2014 [PHOTOS]