A spokesman for William Hill said:
"Following the tragic events in Camden on Monday evening, William Hill is extending full co-operation to the authorities as they seek to understand the circumstances leading to this deeply regrettable and unforeseen accident.
We would like to express our sincere condolences and sympathy to the family for their loss."
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The 78-year-old woman suffered serious injuries after her bag became trapped between the doors of a train at Notting Hill Gate station.
The oil has affected wildlife and boat owners have been told not to move their vessels to avoid spreading it.
Fearing for public safety, PC Chegwin pushed her in the chest in a defensive manner, not knowing she had extensive breast surgery.