The 22-year-old has enjoyed a breakthrough season at Stamford Bridge this term, scoring 15 goals in 39 appearances and spending much of the campaign as Frank Lampard's first-choice centre-forward.
The club have been locked in talks with Abraham over a new deal, but the player was waiting to see their summer business before deciding on his future.
Chelsea have already agreed deals for striker Timo Werner and winger Hakim Ziyech to provide more competition for the Englishman next season, with Werner understood to have signed a contract worth £170,000 per week.
The Times reports that Abraham is using fellow academy graduate Callum Hudson-Odoi as a yardstick for his own demands, with the winger currently earning £120,000 per week plus bonuses.
Abraham, who is currently on £50,000 a week, is reportedly demanding a weekly pay rise of £80,000 to take him up to £130,000 per week if he is to commit his future to the club.
The England international's current deal is due to expire in 2022.