Officers now have a DNA profile both of the baby, which was found dead in a Bath Street Wine Cellar bag on a Weymouth beach 29 years ago, and its mother. Scientists say that this will allow the mother to be identified.
Detectives from the UK force also now believe that the mother gave birth to the baby on a ferry travelling between the Island and Weymouth and strangled it before throwing it over the side.
The baby was washed up on Weymouth beach near the pier bandstand on 15 October 1981 and found by three men who were metal-detecting.
Phil James, a retired detective sergeant reviewing the case for Dorset police, who was in Jersey today, said that it was highly likely that the mother came from Jersey.