Tabloid reports suggested that Konecki, who was reportedly introduced to the singer by Ed Sheeran, is still married to his wife Clary Fisher - the mother of his 5-year-old daughter.
However, reacting to the reports, Adele responded via her blog: "This is the first and last time I will comment on the details of my relationship with Simon.
"Contrary to reports and headlines in the press today, Simon is divorced and has been for 4 years. Everyone in our lives separately and together wish us nothing but the best, and vice versa."
The 'Someone Like You' star added: "These are the facts. Take care and see you all in February xx"
The 23-year-old recently picked up three Brit Award nominations, including nods in the 'British Female Solo Artist' and 'MasterCard British Album Of The Year' categories.
> Adele steps out with new boyfriend Simon Konecki in Florida