Authorize TO vault using oauth2 provider?

We have a github enteprise on premise authenticated with LDAP. What would be really great, is to register vault as an OAUTH2 client application into github enterprise, so that you do not have to type your password twice both in vault and in github enterprise.

According to the documentation that is not possible GitHub - Auth Methods | Vault | HashiCorp Developer . Are there any plans to make it possible? It would be great. Thanks.