Earlier on Friday the minister told Reuters the ship was headed to Lebanon's main port.
"I didn't mean that this tanker is going to a Lebanese port, but according to the information coordinates it is heading to the territorial waters of the country," he told reporters later at an Oslo forum.
"It doesn't mean that it is going to reach a Lebanese port. But for sure...it is not coming to Turkish ports either."
The apparent confusion underlines the risk of reprisal that countries face taking in the tanker, which at 14:00 GMT was headed east toward the channel separating Turkey and Cyprus after a series of turns in the Mediterranean Sea, according to tracking data.