Baines had been linked with a move to Old Trafford in the summer but reports on social networking site Twitter claimed that the Red Devils may submit an offer in the January transfer window.
Everton are currently in sixth place in the Premier League, three points off the Champions League spots after making an impressive start to the season. While the 27-year-old wants to realise his European ambitions, he insists that he wants to do it with his current club.
"I'm not that into Twitter but I would say not to be worried," Baines told Sky Sports News.
|BETTER LEIGHTON THAN NEVER|
|12/1||Leighton Baines is 12/1 with Bet365 to score the last goal in Everton v Tottenham|
"There are a lot of lads here who have been at the club for a long time now and we want to bring it not just for ourselves and our own ambitions but for the other people at the club, the manager, the chairman, the fans.
"It would be a massive achievement for us if we could get those European nights back at Goodison.
"Although there's a lot of hard work and a lot of other clubs scrapping for that fourth spot, we'd like to think that if we can get our form back on track we could be one of them."