The TV star most recently split with musician Bret Bollinger and had previously dated her costar Johnny Galecki.
She and Galecki had kept their two-year romance (and engagement) under wraps throughout the entire relationship.
Cavill was also on the single scene after splitting with girlfriend Gina Carano earlier this year.
Cavill and Carano made their red carpet debut in January at the Critic's Choice Movie Awards, just months after it was announced that he had ended his long-term engagement to Ellen Whitaker.
Cavill is easily one of Hollywood's most eligible bachelors after landing the coveted role of Superman.
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