On the official changelog page you provided, under Changes between 1.0.0h and 1.0.1 [14 Mar 2012] you can see Initial TLS v1.2 support.
*) Add TLS v1.2 server support for client authentication.
[Steve Henson]*) Add TLS v1.2 client side support for client authentication. Keep cache
of handshake records longer as we don’t know the hash algorithm to use
until after the certificate request message is received.
[Steve Henson]*) Initial TLS v1.2 client support. Add a default signature algorithms
extension including all the algorithms we support. Parse new signature
format in client key exchange. Relax some ECC signing restrictions for
TLS v1.2 as indicated in RFC5246.
[Steve Henson]*) Add server support for TLS v1.2 signature algorithms extension. Switch
to new signature format when needed using client digest preference.
All server ciphersuites should now work correctly in TLS v1.2. No client
support yet and no support for client certificates.
[Steve Henson]*) Initial TLS v1.2 support. Add new SHA256 digest to ssl code, switch
to SHA256 for PRF when using TLS v1.2 and later. Add new SHA256 based
ciphersuites. At present only RSA key exchange ciphersuites work with
TLS v1.2. Add new option for TLS v1.2 replacing the old and obsolete
SSL_OP_PKCS1_CHECK flags with SSL_OP_NO_TLSv1_2. New TLSv1.2 methods
and version checking.
[Steve Henson]*) Initial TLSv1.1 support. Since TLSv1.1 is very similar to TLS v1.0 only a few changes are required […]
TLS 1.2 support is from OpenSSL version 1.0.1.
OpenSSL 0.9.8x is lower than 1.0.1 so it does not support TLS 1.2