Sean signed up with Edinburgh boss Andy Robinson to coach on Scotland's trip to Argentina and added much-valued experience to the set-up.
But following the drawn series they have both made it clear to their full-time employers, the Scottish Rugby Union, that their clubs should come first.
"I have had Glasgow business to deal with even on this tour, which is not ideal. I have enjoyed being involved and working with the national squad, but I am really looking forward to getting back to Glasgow after a family holiday and firming everything up for our pre-season tour to France. We have a lot to do there.
"I have every confidence in my assistants at Glasgow, but while the end-of-season tour was fine, it would be hard to combine a national squad coaching role with the pro team job right through the normal season."