Chung, 31, and Skarsgard, 38, were first seen together at the Father John Misty show at the Bowery Ballroom in New York City on Saturday night, when an onlooker tells PEOPLE the two looked “cozy.”
“They were deep in conversation,” continues the onlooker. “He seemed really laid-back but she seemed super animated and into him.”
The next morning, Chung was photographed with Skarsgard at a New York coffee shop.
“Here is @alexa_chung getting avocado toast!! She was with #trueblood hottie #alexanderskarsgard,” comedian Haley Sacks Tweeted along with a photo of Chung on Tuesday morning.
Reps for Chung and Skarsgard have not returned requests for comment.
• Reporting by GILLIAN TELLING