But the Mercedes F1 driver and the superstar singer are “just friends”, The Sun report.
Hamilton and Shakira were also seen enjoying a dinner together within the past week.
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Shakira recently ended her marriage to ex-Barcelona footballer Gerard Pique.
Hamilton collected Shakira from her £16m Miami mansion on a yacht and took her for a spin on the water.
She was also hanging out with actor Tom Cruise during the grid walk at last weekend’s F1 Miami Grand Prix.
Miles Chamley-Watson, an American fencer and one of Hamilton’s friends, was also on the yacht trip.