There have been claims Abraham is holding out for a better offer than the £180,000-per-week put forward by the Blues.
The Telegraph stated on Wednesday that these reports were false.
And Abraham has expressed his relief after seeing the story posted on Instagram.
The 22-year-old forward commented on the post, saying: "Finally some real news."
Chelsea have decided to delay any contract negotiations until the end of the season.
Willian, Pedro, Olivier Giroud and Willy Caballero all have expiring deals.