Saha revealed that he has been sleeping in the chamber in an attempt to rid himself of the injury problems that have plagued his stay at Goodison Park and posted a picture of himself with an oxygen mask on his Twitter account this week.
The French striker missed the final eight games of last season with an ankle injury while his appearances were also restricted by calf and hamstring problems.
He tweeted after posting his picture: "That's an oxygen chamber to boost the healing process and recovery after hard training.
"Sleeping in a chamber like M. Jackson. The rehab center Camp8 got a few top machines."