The 26-year-old announced this week that he was diagnosed with the disease just a fortnight after the birth of his daughter Pearl Clementine in April.
Osbourne discussed his battle with MS on Piers Morgan Tonight on Thursday (June 21) and stressed that the disease is not a death sentence.
"I've been told by all my doctors that if you are going to get MS now is the best time to have it," he explained. "There are, I think, two or three new drugs coming out within the next six months… I do believe there will be a solution in sight in my lifetime."
Osbourne was more emotional when discussing his fiancée Lisa Stelly's initial reaction to his diagnosis.
"Lisa is incredibly optimistic, just in her nature she is," he said. "She's very caring, very nurturing, and she was like, 'Hey, this is not so great news, but let's figure out how to make this a good thing'," he recalled.
"And, you know, the prescribed lifestyle with having MS is minimize stress, exercise regularly, eat right and, you know, get a lot of sleep. That is the best kind of recipe to live by for anyone!"
Osbourne revealed on The Talk earlier in the week that he was fired from a US reality show believed to be Stars Earn Stripes after learning he had MS.
"Out of everything, that's what has really ticked me off the most because it's like, 'Don't tell me what I can and cannot do'. At no point did they call me. It was all through agents and lawyers - I was offended by it," he complained.
He has also accused the press of "sensationalizing" his illness by claiming that he is dying.
Watch a clip from Jack Osbourne's appearance on Piers Morgan Tonight below: