The romance rumours started when the stars were spotted having drinks at New York City's Kingside restaurant on Thursday.
"They seemed to really be enjoying each other’s company," a witness told Page Six, describing their date as "low-key."
The Fifty Shades of Grey actress and Mad Men actor were also spotted together back in April at Elton John's 70th birthday party, Page Six notes.
Dakota and Jon are potentially a relatively new item, or just good friends catching up for a drink.
Either way, we're all for this union.