The fire hose of sports betting advertising in Massachusetts should slow down once March Madness finishes, and taking any action to restrict the commercials may raise questions around First Amendment rights, the two top state lawmakers focused on consumer protection said in interviews.

A wave of sports betting commercials broke over the state after the launch of legal mobile wagering at the start of March. From David Ortiz to Rob Gronkowski, local sports heroes have appeared in advertising spots to promote one of the many online sportsbooks that have come online just as the NCAA’s March Madness kicks into gear.