Voice message retrieval from a digital answering...

Question

I have an approx. 10 year old Uniden EXLA 8950 900MHz cordless phone with digital answering system. The recorded message was made by my 15 year old daughter when she was about 5 years old. We are ready to get a new phone, but I would like to be able to transfer the messsage from the Uniden to a new phone. Is there a way that this can be accomplished?