He was scheduled to undergo an MRI on Wednesday after sustaining knee and ankle injuries while working out at the Dolphins' practice facility.
While the injuries aren't believed to be serious, this is the last thing the Dolphins need given that Smith is the only returning starter along the offensive line.
As for McMichael, he was arrested this week after police responded to a domestic dispute call involving McMichael and his pregnant wife.
McMichael was charged with domestic battery on a pregnant woman, an offense punishable by up to 15 years in prison. McMichael's wife also was charged with domestic battery.
Both husband and wife were released after posting bond.
According to the police report, the couple began arguing after McMichael returned home after celebrating his birthday with friends.
"We are certainly aware of the seriousness of this matter and we don't condone the types of actions which have been alleged to have occurred," said Coach Dave Wannstedt in a statement. "However, we will withhold any comment on this specific situation until the judicial process has run its course."
The two situations have come after the Dan Marino hiring and quick resignation; the failed courtship of free agent linemen John Tait and Damien Woody; the reported failed drug test of Ricky Williams; the criticized search for a general manager; the reassignment of new offensive coordinator Joel Collier and the much-debated appointment of tight ends coach Chris Foerster to take his place, etc.
In short, the Dolphins are about a month away from starting training camp, but it can't come soon enough.