Miami considers its bullpen a strength. The club has a proven closer in Steve Cishek, as well as right-handers A.J. Ramos, Bryan Morris, David Phelps, Aaron Crow, Carter Capps and Sam Dyson.
"We're comfortable with our reliever depth," Hill said at the annual Winter Warm-Up at Marlins Park. "Our right-handed relievers, we've got Cishek, we've got Morris, we've got Ramos, we've got Capps, we've got Dyson, we've got Phelps, we've got Crow. We've got a lot of depth there. But like anything, if we've got an opportunity to improve and get better, we monitor."
Rodriguez, who saved 44 games with the Brewers last season, would make the biggest impact. But his asking price reportedly is around $10 million for one season.
Miami could be open to a two-year deal, at minimum of $10 million. The team also would consider a one-year contract for the veteran right-hander.
If the Marlins landed Rodriguez, it would be to set up Cishek. K-Rod also would be a fallback option if Cishek wasn't available for the ninth.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter @JoeFrisaro. This story was not subject to the approval of Major League Baseball or its clubs.