The obligation is to provide “adequate” means of escape. This depends upon who is expected to use it, and how many are expected to use it.
There is guidance in the Approved Document ‘B’ to the Building reg’s that a clear opening width of 750mm should be regarded as a minimum. My own view - If there are building works going on in the building, you probably should be aiming to comply with this (assuming that the relevant floor occupancy isn't over the figures in that document). If not, then it’s down to (guess what) risk assessment, and the relevant assessment should consider this guidance, but only implement it if it’s reasonably practicable to do so. You don’t say what the escape route is to be used for, but if members of the public are expected to use it then it is probably too narrow (particularly if disabled people may be present). If it is well lit, will only ever be used by a few members of staff, who are all familiar with the building and its escape routes and you’re not doing any significant building works to the premises, you may be able to argue that it’s adequate.