Exhibit 23.1

The Directors

Biodexa Pharmaceuticals plc

1 Caspian Point

Caspian Way

Cardiff

Wales CF10 4DQ

DDI:

+44 (0)20 7516 2200

Email:

dthompson@pkf-l.com

Date:

27 March 2026

Consent of Independent Registered Public Accounting Firm

Dear Sir / Madam

We consent to the incorporation by reference of our audit report dated March 27, 2026 on the consolidated financial position of Biodexa Pharmaceuticals plc (the “Group”) and its subsidiaries as of December 31, 2025 (collectively the 2025 20-F) into the prospectus and registration statement included within the Post-Effective Amendment No. 2 to Form F-1 regarding the issuance from time to time of American Depositary Shares pursuant to the terms of the Equity Line of Credit.

Yours faithfully

/s/ PKF Littlejohn LLP

PKF Littlejohn LLP

London, United Kingdom

PKF Littlejohn LLP, Chartered Accountants. A list of members’ names is available at the address below. PKF Littlejohn LLP
is a limited liability partnership registered in England and Wales No. OC342572. Registered office at 15 Westferry Circus,
London E14 4HD. PKF Littlejohn LLP is a member of PKF Global, the network of member firms of PKF International Limited,
each of which is a separate and independent legal entity and does not accept any responsibility or liability for the actions or
inactions of any individual member or correspondent firm(s).

PKF Littlejohn LLP

15 Westferry Circus

Canary Wharf, London

E14 4HD

T: +44 (0)20 7516 2200

pkf-l.com