This may cause a lot of problems and ultimately can result in ending of the relationship.The possessiveness and jealousy of the Scorpio woman may keep the Sagittarius man away.

Yes, Sagittarius is the sign of philosophers (and of single people par excellence), but (s)he analyses what's around him/her, not inside him/her.
The second problem with a Sagittarius is that (s)he uses the expression "always, until the end" very often, but that usually means until next week.
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Sagittarius-Scorpio Compatibility Scorpions represent a water sign and Sagittarians a fire sign.
Scorpios hate fakery, flattery, contrivances and other attempts at hiding behind facades.
So, the stripped-down truth according to Sag is not only welcomed by Scorpio, but celebrated.
But then both are lovers of truth and righteous living and this takes them together.
If they could consolidate their fortes like the intelligence of the Sagittarius and the instincts of the Scorpio, then this relationship can work out well for the long run ahead.
You two love as strongly and intensely, but your definitions are very different: "you love me, therefore you're mine", you say; "you love me, therefore you let me find my way", says Sagittarius.