Rudiger made his loan move from Stuttgart to Roma permament earlier this week.
Il Tempo in Italy reports that the move will only be a stop-gap for the Germany international.
Liverpool, Chelsea, Paris Saint-Germain and Juventus are all reportedly interested in the defender.
Roma paid only around £8million to sign Rudiger permanently.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.