The star, best known for his role on soap opera EastEnders, reportedly underwent reconstructive work on his skull after his Mini Cooper vehicle smashed into a steel barrier in Derby, England, on 30 January.
Gaffney has not yet spoken about the accident, but reality TV star Price reveals that her pal is slowly recovering from the smash.
In her colum for The Sun newspaper, she writes: "My friend Dean Gaffney has texted me to say he is on the mend after suffering head injuries in a car crash. I'm so relieved to hear it, Dean. Keep well and keep going."
Gaffney had been driving home after performing in a stage production of Agatha Christie's A Murder Is Announced at the Derby Theatre when the accident occurred.