Are you compatible?
With Sagittarius focusing on adventure and multiple experiences, and Virgo on commitment, this is an unlikely match. A great deal of humor, tolerance, and awareness of differences is necessary to deal with the problems you're likely to experience. The fact that you're both so adaptable makes this process easier.
Sagittarius takes the wider view and Virgo focuses on the specific details of any situation and this can result in a balanced approach. Virgo finds Sagittarius's optimism and playfulness refreshing and attractive. Sagittarius can show Virgo how to bring some adventure into their life and encourage Virgo to be more sociable. Virgo will support Sagittarius through good times and bad and is able to keep them grounded.
Neither of you are willing to relinquish control to the other and at times, when Virgo needs Sagittarius they may be nowhere to be found, too busy doing their own thing.
Conflict is likely when Sagittarius feels that the details will take care of themselves and they feel annoyed with Virgo's pettiness and criticism while Virgo is frustrated by Sagittarius's sloppiness. Virgo's attempt to restrain Sagittarius and involve them in planning for the future can also annoy them. A major problem is your joint tendency of trying to convert each other to your own way of doing things. Irritations over minor incidents can make your relationship difficult.
There's likely to be a strong attraction but Virgo might find the relationship too hot to handle. Sagittarius is attracted to Virgo's mind and Virgo is immediately tempted to seduce Sagittarius. A deep romantic relationship could soon follow.
If you both understand and respect your differences, and develop shared interests, you can work towards a very rewarding partnership. Friendship can keep you together but you will both have to make concessions if you want the relationship to last.