Sean Kingston is in stable condition at Jackson Memorial Hospital in Miami.  He has a tube down his throat and he's breathing with the help of a ventilator.

But his rep says, "He is aware of what is going on around him, sedated but fully conscious."

Meanwhile, the woman who was on the back of the jet ski when it crashed described the accident yesterday.  Her name is Cassandra Sanchez, and she's a longtime friend of Sean's.  Turns out she only suffered minor injuries.

Cassandra says she and a girlfriend went to Miami Beach to ride with Sean and one of his friends.  The four of them hit the water on two jet skis.

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She says, "Both jet skis pulled out of the dock at the same time and we were going so fast we just blasted past them.  When we turned a corner and crashed . . . they were so far behind us they didn't even see us crash."

What they crashed into was a bridge.  Cassandra says that as they approached it, she screamed, quote, "We can't fit under there!  Are we going to try and go under there?  Sean, stop!"

Sean tried to turn, but they were going so fast he lost control.  The next thing Cassandra remembers is waking up in the water in pain.  Their friends on the other jet ski were there, and Sean's pal was trying to position him so he wouldn't swallow too much water.

Cassandra says, "he was coughing up blood, foam and pink stuff."  When he regained consciousness, he kept repeating, "I'm hurting.  I'm hurting."

They were eventually assisted by two men who were out on a boat nearby . . . one of whom just happened to be an off-duty Coast Guard member.

Kingston is expected to be in the hospital for at least the next few weeks.