Speaking to Access Hollywood, the actor recalled seeking medical help after burning the region shooting one of the movie's scenes which took place in a hypothermic tank.
"It’s kind of a painful story. We were [filming] in a hypothermic river all day, for 13 hours. This poor guy had to run about 15 minutes up the hill to get this water that they’re boiling up by the trucks and run it down and then pour it down our wetsuits to keep our core warm so we can stay in the water all day," he explained.
"We wrapped the scene, start walking up and here he comes with the bottle. Normally, he just poured it down - and it was boiling water - what happened was he didn’t get all the way down to the river to dilute it with river water."
Tatum added: "[I went] straight to the hospital. Which is very, very humiliating holding your little burnt man!"
The Eagle opens February 11 in the US and on March 25 in the UK.