The 28-year-old Danish international has found his first-team action limited this season as David De Gea has cemented his place as undisputed number one.
Lindegaard is concerned that a continued lack of regular action could undermine his place in the national side, and so might have to look for a move away from Old Trafford in the summer.
Red Devils boss Sir Alex Ferguson has also been credited with an interest in signing a new goalkeeper when the transfer window reopens to provide further competition for De Gea, with Asmir Begovic appearing the most likely to tempt the 71-year-old Scot into action, according to the Daily Telegraph.
Manchester United's reported interest in Begovic could be the final nail in Lindegaard's coffin, with fellow Premier League sides Fulham and West Ham ready to offer the former Aalesund stopper an option to extend his two-and-a-half year stay in England.
Lindegaard's representative, Michael Stensgaard, insists his client will not think about his future until the end of the campaign, but conceded that primary discussions have been held with Old Trafford chiefs.
"We have a good dialogue with Manchester United regarding all subjects," the agent told Sporten.dk. "Right now, Anders is fully focused on the exciting end of the season that Manchester United are involved in.
"We cannot predict the future and a lot can happen in football. We are discussing all of our thoughts with Manchester United."