IO::Socket::SSL: cannot connect using different LocalAddr

I'm trying to connect to HTTPS server using local address other than
the default (the machine I'm using has more IP addresses assigned). I
wrote something like this:

$socket = new IO::Socket::SSL(PeerAddr => "foo", PeerPort => 443,
Proto => "tcp", LocalAddr => "1.2.3.4");

but it hangs and doesn't create a socket. This one:

$socket = new IO::Socket::INET(PeerAddr => "foo", PeerPort => 443,
Proto => "tcp", LocalAddr => "1.2.3.4");
IO::Socket::SSL->start_SSL($socket);

creates a socket, but blocks at start_SSL. When I set SSL version to
2, it succeeds:

$socket = new IO::Socket::SSL(PeerAddr => "foo", PeerPort => 443,
Proto => "tcp", LocalAddr => "1.2.3.4", SSL_version => "SSLv2");
print $socket "GET / HTTP/1.0\nHost: foo\n\n";
$line = <$socket>;

However, when I change the request URL, it blocks at first read:

$socket = new IO::Socket::SSL(PeerAddr => "foo", PeerPort => 443,
Proto => "tcp", LocalAddr => "1.2.3.4", SSL_version => "SSLv2");
print $socket "GET /account/ HTTP/1.0\nHost: foo\n\n";
$line = <$socket>;

Everything works fine after removing LocalAddr parameter or setting it
to my default IP address. When I set $IO::Socket::SSL::DEBUG to 4,
only one message is displayed:

CA file certs/my-ca.pem not found, using CA path instead.

But it's always displayed, whether I specify LocalAddr or not. Does
anyone know how to fix this problem?

bl4