Serhiy Storchaka added the comment:

Yes, but if n is limited, O(n) becomes O(1). In our case n is the number of fed 
but not read lines. I suppose the worst case is a number of empty lines, in 
this case n=8192. I tried following microbenchmark and did not noticed 
significant difference.

$ ./python -m timeit -s "from email.parser import Parser; d = 'From: 
exam...@example.com\n\n' + '\n' * 100000" -- "Parser().parsestr(d)"

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<http://bugs.python.org/issue21448>
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