I assume you're referring to the memory leaks (CVE-2014-3513 & CVE-2014-3567)? (as there's a few items being patched).
My guess is that it doesn't since OpenSSL use a bespoke memory allocator / deallocator which, if I recall correctly, was one of the things that Theo de Raadt was criticising OpenSSL over.
The TLS_FALLBACK_SCSV patch (re POODLE) was ported from BoringSSL (Google's fork of OpenSSL) to address TLS 1.0 downgrading to SSL 3.0. From what I understand, and I might be wrong on this, this is a protocol issue rather than a bug with specific SSL libraries. So LibreSSL might also see a similar TLS_FALLBACK_SCSV patch applied.
That would be an interesting comparison.