Lindelof, 23, linked up with the Red Devils from Portuguese giants Benfica in a deal worth an initial £31m this June.
With the move coming after months of persistent speculation over a potential Old Trafford switch he was expected to slot straight into Jose Mourinho’s starting XI.
Lindelof struggled in United’s UEFA Super Cup showdown with Champions League winners Real Madrid in August though.
And since then he’s been made to watch on from the sidelines, with Eric Bailly and Phil Jones impressing at centre-back in the Premier League.
Lindelof came through the entire 90 minutes of United’s recent clashes against Basel and Burton in the Europa League and Carabao Cup respectively.
And Andersson is hoping to see Mourinho hand him more chances ahead of Sweden’s World Cup qualifying fixtures next month.
Asked about Lindelof on Swedish radio show P5 Sthlm, Andersson said: "It's a frustrating thing in this job, I cannot influence anything.
"It is clear that over time, I want all our players to play as much as possible, at as high a level as possible.
"So over time it's a little unfortunate. But we'll see, he has played some matches. We hope that he will be even closer to the team."
Andersson was also asked if he’d "flirted" with Lindelof’s United team-mate Zlatan Ibrahimovic in an attempt to convince the hitman to play for Sweden again.
And he joked: "I do not even flirt with my wife so I can completely deny it."
Sweden face Luxembourg and Holland in October as they continue their quest to qualify for next summer’s World Cup.
United, meanwhile, resume their Champions League campaign when they visit CSKA Moscow tomorrow night.
They are back in Premier League action against struggling Crystal Palace on Saturday.
