Henry Cavill fueled rumors that he is dating Big Bang Theory star Kaley Cuoco when he held hands with her in public on Wednesday.

Cavill, 30, and Cuoco, 27, displayed PDA while grocery shopping near her home in Sherman Oaks, Calif. on July 3.

The Man of Steel star wore a fitted red t-shirt with jeans, as he held hands with Cuoco, who looked bohemian chic sporting a beige brim fedora hat and sunglasses to compliment her leopard-print top and jeans.

The couple shopped together at the high-end supermarket, Gelson's, according to Radar Online. At one point, the British hunk gave onlookers an eyeful when he took off his sunglasses and looked into Cuoco's eyes. According to the report, Cavill was gracious enough to sign an autograph for a male fan before they drove off. The couple were later spotted at a wine shop.

The sighting came a day after the pair went hiking on Tuesday. People published a photo of the alleged couple wearing fitness gear after they worked out together near Cuoco's Sherman Oaks home. Shortly after the workout, they stopped for sushi in the area.

"They were both single and started dating recently," a source told People on Monday.

Us Weekly also reported that a friend of Cavill's revealed he is seeing Cuoco, saying "they are totally hot for each other." Cavill is a huge fan of Big Bang Theory so he "always wanted to date her," the source said.

Cuoco secretly dated her Big Bang Theory co-star Johnny Galecki for two years and was later engaged to Josh "Lizzi" Resnick, an addiction specialist, according to the report.

Cavill dated MMA fighter and Fast and Furious 6 actress Gina Garano in 2012, before ending the relationship in May.

Cavill and Cuoco are represented by Viewpoint, Inc., a Beverly Hills-based publicity firm.

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Henry Cavill, Kaley Cuoco