The England international, 22, has scored 13 goals in 25 Premier League appearances for Chelsea
Abraham, who has been sidelined with an ankle injury since the start of February, wants to be on equal terms with fellow Blues youngster Callum Hudson-Odoi.
The winger, 18, signed a five-year deal earlier this season putting him on £120k-a-week, with performance-related bonuses potentially bringing it to £180k.
But Hudson-Odoi has made just 17 league appearances this season.
And Abraham believes he deserves to bank the same figures as his teammate.
It’s believed talks are yet to resume after initial negotiations earlier in the campaign.
But another factor in Abraham’s decision to pen a new deal is Chelsea’s pursuit of a new striker.
Olivier Giroud, 33, looks set to leave on a free transfer this summer, while 26-year-old Michy Batshuayi is expected to be sold.
Abraham wants to ensure he remains Lampard’s main forward next season.
But that could be hard to guarantee with Chelsea eyeing RB Leipzig’s Timo Werner, 24, and Lyon’s 23-year-old hitman Moussa Dembele.
