That should be plenty. Exact time length depends on the backlog at whatever flight school(s) you choose to attend and your own progress.
If I was you, my main concern would be what is the job market like at the end of your training. Airline jobs are few and far between. Add Brexit to that (are you able to work in Europe?). Exhaust all airline cadet opportunities, BA and TUI just off the top of my head. Check out Ryanair's cadet programme too, from 0 to RHS 737 with them via their partner flight school. It may cost slightly more than what you've got, but definitely worth it if you can save up for the small remainder. It's an all but guaranteed path to success.