After some digging on Google I found a couple of councils advise the following
https://www.east-ayrshire.gov.uk/Counci ... onies.aspx
The Nationality, Immigration and Asylum Act 2002 requires all successful applicants for naturalisation or registration as a British citizen, who are aged 18 or over, to take an oath and pledge at a citizenship ceremony, unless exempted by the Home Secretary.
And here is what the law says
https://www.legislation.gov.uk/ukpga/2002/41/schedule/1
The following shall be substituted for section 42 of the British Nationality Act 1981 (c. 61) (registration and naturalisation: fee and oath)—
“42Registration and naturalisation: citizenship ceremony, oath and pledge
(1)A person of full age shall not be registered under this Act as a British citizen unless he has made the relevant citizenship oath and pledge specified in Schedule 5 at a citizenship ceremony.
(2)A certificate of naturalisation as a British citizen shall not be granted under this Act to a person of full age unless he has made the relevant citizenship oath and pledge specified in Schedule 5 at a citizenship ceremony.
(3)A person of full age shall not be registered under this Act as a British overseas territories citizen unless he has made the relevant citizenship oath and pledge specified in Schedule 5.
(4)A certificate of naturalisation as a British overseas territories citizen shall not be granted under this Act to a person of full age unless he has made the relevant citizenship oath and pledge specified in Schedule 5.
(5)A person of full age shall not be registered under this Act as a British Overseas citizen or a British subject unless he has made the relevant citizenship oath specified in Schedule 5.
(6)Where the Secretary of State thinks it appropriate because of the special circumstances of a case he may—
(a)disapply any of subsections (1) to (5), or
(b)modify the effect of any of those subsections.
(7)Sections 5 and 6 of the Oaths Act 1978 (c. 19) (affirmation) apply to a citizenship oath; and a reference in this Act to a citizenship oath includes a reference to a citizenship affirmation.
I didn't find an official form or procedure to request this though. you may want to consult a solicitor.
All advice comes from personal research and experience and should not be regarded as professional opinion.