I would really appreciate your help please!

I have just come across a situation where a self-employed individual has worked for an organisation for 10 years. The actual relationship between the individual and the organisation mirrors that of a true self-employed person. i.e it satisfies the main tests: no mutuality of obligation, little control, element of substitution etc.

However to date there has been no written contract or agreement in existence. Whilst that can be fairly easily addressed now, my question is…..:

What terms (if any) have been implied or occured by default?The main area I’m considering is notice period. Are parties free to do what they want? Would the usual statutory notice period for employees apply?

I really hope someone can provide me with a helpful answer or point me in the right direction.

Thank you
Sarah Jennings