They have taken to social media to humorously warn Cruise to "get away" and "stay away" from Shakira. While the media has portrayed the pair as a great match, Twitter users are not convinced and are making their opinions known in droves.
Although both Shakira and Cruise are currently single, Shakira's fans are worried about her well-being after she recently ended a long-term relationship with soccer star Gerard Pique, who allegedly cheated on her with a less-famous woman.
Fans are also raising concerns about Cruise's past relationships and his connection to Scientology.
One Twitter user even warned Shakira not to get mixed up with Cruise, claiming that he would try to recruit her into Scientology.
Meanwhile, another fan told Cruise to stay away from Shakira, adding that the reports of him wanting to date her were sending them into a panic. Despite the rumors, it is unclear whether there is any truth to the speculation of a romance between the two stars.
