Is it recommended to send an authentication request to the Resource Owner (by the Authorization Server) if it already has an active session?

In OAuth 2.0 Authorization Code Flow (Grant Type), is it recommended (or is it maybe even a best practice) to send an authentication request (e.g. a login-request form) to the Resource Owner (by the Authorization Server), even if the Resource Owner has already an active session on the Authorization Server, when obtaining an Authorization Code for the first time for a certain Client?

In other words, is it recommended to kill/destroy a currently active session first, if there’s one? Or is it not important at all?