The Marlins enter the week with a 45-52 record and are 8.5 games back of the Washington Nationals in the NL East. They have lost seven of their last 10 games.
Cishek is having a good season, with a 4-5 record, 3.57 ERA and 21 saves in 24 opportunities.
More from CBS Sports:
With Huston Street off the market after being traded to the Angels, and Jonathan Papelbon's contract fairly unpalatable, Cishek may be considered the top current closer on the market -- barring Boston more seriously considering a deal for superstar closer Koji Uehara.
MORE MLB COVERAGE: 10 bold predictions for the rest of the MLB season | Marlins' second-half preview
- Scooby Axson