Running a crate's binary before tests

My crate is a code generator. More specifically, it generates a parser.

I would like to write function tests that run a generated parser, and compare its result to the expected result.

However, it requires that I run my crate's binary prior to the tests to get the parser's code, compile that code, and then run the tests.

How can I do that with Cargo?

This is very similar to this issue, which unfortunately is not solved.