Abraham is the fourth most-sold player ahead of Saturday's 11:30 GMT deadline with more than 161,000 transfers out.
However, Frank Lampard says doubts remain over the 22-year-old's fitness.
"Tammy has trained the last two days probably at about 70 per cent," the head coach told Chelsea's official website.
"He's in the squad but I'll have to make a decision on whether he's fit."
Abraham has scored only two goals and supplied two assists in his last 10 Gameweek appearances.
And that has driven managers to seek alternatives as his 20.9 per-cent ownership continues to tumble.
|Forward||Transfers in||GW27 opp|
|Danny Ings||46,000||AVL (H)|
|Raul Jimenez||40,000||NOR (H)|
|Dominic Calvert-Lewin||23,000||ARS (A)|
Over 46,000 managers have made the direct swap to Danny Ings (£7.1m).
Raul Jimenez (£7.8m) has been another popular option for Abraham owners.
According to the Fixture Difficulty Ratings (FDR), five of their next six matches score only two.
The 22-year-old has scored six goals and supplied one assist in his eight appearances under Carlo Ancelotti.
However, his schedule is far from easy.
Indeed, six of the Toffees' next seven matches score four in the FDR.
This suggests he could struggle to keep up with Ings and Jimenez in the coming weeks.