No deal is considered imminent, but that could change depending on if an agreement can be reached.
Yahoo! Sports' Jeff Passan first reported on Thursday that Hechavarria will be traded within a few days. The Miami Herald reported the Cardinals also have interest.
Marlins manager Don Mattingly didn't offer specifics on if the slick-fielding shortstop could be moved.
"Not a lot to say about anything like that," Mattingly said before the Marlins faced the Cubs at Marlins Park on Thursday. "Most teams are looking at all their guys and what can you do and how you build and where you go. Any kind of rumors like that, you let it work out."
Hechavarria, 28, is a two-time National League Gold Glove Award finalist, but he has spent much of this season on the disabled list, serving two separate stints with a left oblique strain. He's been on rehab assignment at Class A Advanced Jupiter.
Hechavarria is making $4.35 million in arbitration, and he isn't eligible for free agency until after the 2018 season. Trading Hechavarria would get his salary off the books and would likely bring in a prospect in return.
In his absence, JT Riddle has stepped up, and the organization intends to stick with the left-handed-hitting shortstop on a regular basis. The 25-year-old was the organization's 13th-round pick from the University of Kentucky in the 2013 Draft.
Riddle entered Thursday night with 47 games in the big leagues, and a slash line of .248/.270/.383 with three home runs and 23 RBIs. Hitting mostly eighth, he's shown some power with 13 extra-base hits.
"I think that's been the pleasant surprise for us, the way JT has played," Mattingly said. "He's been consistent. Given us some good at-bats and showed really good game awareness. He's been a nice surprise for us. Originally, you look at this just as free time for him. He gets a chance to come up, a lot of experience while Hech has been down."
If Hechavarria is dealt, the Marlins also have a shortstop option looming in Miguel Rojas, who's on the 60-day DL with a fractured right thumb, but could be back around the All-Star break.
Hechavarria missed action from April 9-20 with a left oblique strain, and he has been out since May 10 with the same injury.
The Marlins could be among the more active teams between now and the July 31 non-waiver Trade Deadline. Along with Hechavarria, they are open to making sweeping trades, especially if they fall further out of contention in the next five or six weeks.