Board Thread:General Discussion/@comment-30242197-20180330015326/@comment-4567891-20180417043422

No, He never even entertains the idea of being with her or any of the women that he has befriended in Underworld. He maintains his love and devotion towards Asuna throughout the arc. And Reki has made it abundantly clear that he isn't going to split up the characters since he himself is incredibly fond of Kirisuna. He even stated that Alice was used to make Asuna jealous because she finds the idea of a jealous Asuna being possessive of Kirito adorable

Bottom line: Kirito is never going to cheat on her and some fans should stop expecting(or hoping) that he does.