I prefer to do BDD, which uses a combination of automated acceptance tests, possibly other integration tests, and unit tests. The question for me is what the target coverage of the automated test suite as a whole should be.
That aside, the answer depends on your methodology, language and testing and coverage tools. When doing TDD in Ruby or Python it's not hard to maintain 100% coverage, and it's well worth doing so. It's much easier to manage 100% coverage than 90-something percent coverage. That is, it's much easier to fill coverage gaps as they appear (and when doing TDD well coverage gaps are rare and usually worth your time) than it is to manage a list of coverage gaps that you haven't gotten around to and miss coverage regressions due to your constant background of uncovered code.
The answer also depends on the history of your project. I've only found the above to be practical in projects managed that way from the start. I've greatly improved the coverage of large legacy projects, and it's been worth doing so, but I've never found it practical to go back and fill every coverage gap, because old untested code is not well understood enough to do so correctly and quickly.