AP

Free agent fullback Vonta Leach may soon receive an increased offer from the Giants.

After previously hoping to sign Leach to a minimum-salary deal, the Giants have stayed in touch and are considering upping their offer to him, according to the New York Daily News.

Leach has been the NFL’s first-team All-Pro fullback in each of the last three seasons, but the Ravens released him in a salary cap move. The Giants’ interest suggests that they’re not confident in fullback Henry Hynoski’s recovery from knee surgery.

The Dolphins have been viewed as the favorites to land Leach, but the Dolphins reportedly wanted to get a deal done with Leach by the end of last week if it was going to get done at all. The Texans are also reportedly interested in Leach, although their salary cap situation makes it unlikely that they’d be able to sign him to anything more than the league minimum. If the Giants are serious about upping their offer, they could very well be the landing spot for Leach.