The Austria international has been tipped to follow current boss Pep Guardiola to the Etihad at the end of the season.
Alaba has two years remaining on his current deal and when asked about his future he did little to defuse speculation linking him with the Premier League side.
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He said at a press conference: "In the winter I concentrated on coming back from my injury and getting in the team again. So I did not think about my future a lot.
"My contract still runs until 2018, at the moment I am concentrating on my performance on the pitch.
When asked about Bayern's desire to tie him down to a long-term deal he added: "That's an honour for me and I'm some kind of proud and grateful."