One punter put £1 on Claudio Ranieri's side to lift the trophy at the start of the season at odds of 5,000-1.
The 20-year-old, who wanted to remain anonymous, said he plans to use his winnings to follow the side during the last few months of the season.
"Over a grand is too good an offer to turn down, and it will go toward trains and tickets to follow Leicester chase the dream in the title run in," he said. "Football isn't cheap these days, and the feeling of winning the league will be priceless anyway.
"I'd rather keep the cash for football than have my girlfriend find out," he said. "I might stretch to 12 roses instead of six, though."
[h/t the Mirror]