Recent reports had suggested that the Denmark international had decided to depart Old Trafford in search of more regular starting action.
However, agent Michael Stensgaard has revealed that the 29-year-old is "happy" to remain with the champions until at least the summer.
"He will stay. Anders has no plans to leave and the club have no plans to sell him. Anders is still happy at the club. We will see how things are in the summer and if other clubs are interested, but here and now, nothing will happen," Sky Sports News quotes the representative as saying.
Lindegaard joined United from Aalesund in January 2011.