Tannehill, of course, was the first quarterback selected in the first round by the Dolphins since they took Dan Marino in 1983.
"He's obviously not here, so we're done yet," General Manager Jeff Ireland told reporters after practice. "Progress is being made. It's progressing, I should say. Communication is ongoing on both sides, from Pat (Tannehill's agent, Pat Dye Jr.) and our group."
Ireland said he would not discuss details of the negotiations, but published reports have suggested the hold-up is the so-called "offset language."
Dye did not return an email seeking comment.
"It's disappointing when you don't have all your players in, regardless of who it is," Ireland said. "You want to have all your players out there. Things are progressing and we're going to keep communicating until we get this thing done."
Head coach Joe Philbin didn't address Tannehill's situation directly, but added: "I think I'd be remiss to say that the 31 other colleagues that I have, if you plan a practice as a coach, you want to have every single player at practice. I'm certainly no different in that regard."
Tannehill, who started 19 games at Texas A&M after switching from wide receiver to quarterback, played in college under new Dolphins offensive coordinator Mike Sherman.
"If he was any other rookie that didn't know the offense, it would be definitely tough on him," Garrard said. "But he knows most of the offense and I think just not being out here with the guys is probably the toughest thing for him."
Cornerback Sean Smith, for his part, said he can't wait to practice against Tannehill.
"He was the first overall pick," Smith said. "He's the chosen one, the golden child. I call him ‘The Franchise.' When he gets out here, I definitely can't wait to just play off and pick one of his little hitches or whatnot because you know he's going to be anxious to come and sling it. To get one of Tannehill's balls, I might make him sign it or whatnot."