The news presenter was suspended in December after breaching lockdown rules.
Speaking in December, Kay said: "I have today agreed with Sky News to step back from my broadcasting role for a period of reflection. It's clear to me that we are all in the fight against COVID-19 and that we all have a duty to stick firmly by the rules...
"It doesn't matter that I thought I was COVID-compliant on a recent social event. The fact is I was wrong, I made a big mistake, and I am sorry. Some dear friends and colleagues - some of the most talented and committed professionals in our business - have been pulled into this episode and I regret this enormously."
Sky News Breakfast with Kay Burley airs weekdays from 7am on Sky News.