The France midfielder was the subject of a January approach by United, which offered to take him on-loan to the end of the season. However, Bayern refused to do business over concerns of their limited options in midfield.
A source close to Tolisso told Le Parisien: "He is not depressed. If it gets complicated, he'll wait until the storm ends. He knows that he plays in a big club with a big competition.
"He is waiting for his chance and is working hard in the hope of being able to change the hierarchy."
Tolisso is nervous about his place in France's Euros squad as he battles to get off the Bayern bench.