Odubajo was caught by traffic police using his neighbour's Oyster Card and almost called it quits as he planned to make it to a trial with the O's.
Of his experience, Odubajo said: "I was on trial and I wasn't getting paid at the time.
"My neighbour had a free-travel Oyster Card so from time to time I would ask him to borrow it. It was the day before I was getting told whether or not I was getting a scholarship.
"On the platform transport police came up to me for no reason to ask about my ticket. I showed it to them, he said, 'This isn't you'.
"I had to explain the whole story about what I'm trying to do, which he didn't believe at first.
"He rang the manager who said it was true so he let me off and the club gave me another day to think about it and got back to me and finally got the contract.
"I went to Orient and after I got released from Millwall and I was thinking about packing it in. That Oyster card situation was the second time I went on trial. I'd started looking at alternatives, college at the time. Since then, I've never thought about quitting.
"I've come a long way. Probably some of the boys have come even further. The thing that drives me on is that I'm touching distance from the top flight."