The 35-year-old has scored six league goals since the start of the season, including two against Swansea City at the weekend that ended a two-month league drought.
United have stuttered in the first months of Jose Mourinho's reign at Old Trafford and are sixth in the table, and while not giving up on the title, Ibrahimovic said the team need to improve to challenge the likes of early pace setters Liverpool Chelsea and Manchester City.
"If I could win the Premier League, the next day I would stop playing football... almost. Hopefully I can win it, and I will win it," he told the club's website.
"We have been a little bit unlucky in certain games, but we believe. When you believe it will come."
Ibrahimovic said the fact that United have failed to mount a title challenge in three seasons of decline after the retirement of Alex Ferguson means they must work even harder to restore their place at the top of English football.
"From just below to the top, I think there is a big difference. After a couple of years if you haven't been on the top of the table you notice it, you feel it. That's what we are working for," he said.
