The Londoners still retain an interest in the player who scored nine goals and eight assists last season.
The midfielder has just 12 months left on his current contract, and he will be a free agent next summer.
RB Leipzig will be under pressure to cash in on the player in the coming weeks, and it will be interesting to see if Mourinho can sign him for the capital club.
Roma could definitely use some midfield reinforcements, and they have been linked with the Arsenal midfielder Granit Xhaka as well.
Sabitzer would add goals, creativity and assists to the Roma midfield, and he could be signed on a bargain as well because of his contract situation.
The 27-year-old is at the peak of his powers, and he could make an immediate impact at the Italian club next season.
Roma must do everything in their power to snap him up as quickly as possible.
Meanwhile, the player has already proven himself in Germany, and he will be keen on a new challenge next season. A move to the Italian league could be ideal for the player, and the chance to work with a proven winner like Jose Mourinho could be tempting for him.