Eriksson, who has been selected for this summer's World Cup finals in Brazil, was the referee criticised by Manchester City manager Manuel Pellegrini following City's 2-0 loss to Barcelona in their last-16 tie in February.
Pellegrini was furious that Eriksson awarded a penalty to Barcelona for a foul by Martin Demichelis on Lionel Messi that was later shown to be fractionally outside the box, while he felt there was also a foul on Jesus Navas in the build-up.
The City boss later apologised for his comments but was handed a three-match touchline ban, one of which was suspended, by UEFA.
Pellegrini said at the time: "From the beginning I felt the referee was not impartial to both teams so he decided the game with a foul that he didn't whistle against and a penalty with Demichelis that was not a penalty - it was outside the box.
"He did not have any control of the game. He was on the side of Barcelona from the beginning until the end.
"I think it was not a good idea to put a referee from Sweden in charge of such an important match, especially a referee who has made an important mistake against Barcelona in a previous match."
United and Bayern drew 1-1 in the first leg at Old Trafford last week, with Nemanja Vidic and Bastian Schweinsteiger, who was sent off late in the game, scoring the goals.