The eighth pick in the draft, Tannehill is the first quarterback selected in the first round by the Dolphins since they took Dan Marino in 1983.
Tannehill's agent, Pat Dye Jr., did not respond to an email requesting comment.
"He's obviously not here, so we're not 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 and our group."
Tannehill is expected to be part of a competition for the starting job along with returning starter Matt Moore and veteran offseason acquisition David Garrard.
"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."