Thank you Bev, for you quick reply.It depends what kind of "teaching English" job you're looking for, and the requirements of the particular market in the country you're targeting.
If you're looking for work with an official language school, it depends on the requirements of the language school. Some don't even required the TEFL certificate, others want that and/or teaching experience of some sort.
The Guardian Weekly Guardian Weekly runs a once a month section on teaching English overseas, and with it, a section of job ads. Some of the articles might give you some ideas where to start looking for jobs.