Grimes told Barry Jackson of The Miami Herald that his agent, Ben Dogra, has spoken with the team multiple times, drumming up hope that he'll re-sign with the organization.
"I'm pretty optimistic," Grimes said Monday. "They said they like me here and want to have me back. Hopefully, it happens sooner than later, and I don't have to worry about it."
Grimes said the Dolphins haven't mentioned slapping him with the tag, projected at a weighty $11.3 million for corners.
"Nobody wants to get (the) franchise tag, another one-year deal," said Grimes, who, at age 30, isn't a likely candidate for a long-term pact. After the outstanding season he enjoyed in 2013 -- finishing as the league's second best corner, per Pro Football Focus -- a more lucrative short-term deal makes sense.