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The Celtic captain says he spoke to the board about their plans before committing his future.
The United manager is happy with the big picture despite the cup defeat to Hibs.
The last four will compete to see who will contest the final.
Joe Aribo scored the only goal before Jon McLaughlin denied Jason Cummings from the spot.
Griffiths was charged by police in relation to an incident involving a pyrotechnic being kicked back into the stand.
Ross says he is thrilled to be back at Hampden and hopes to go all the way in the cup.
Giannis Giakoumakis was injured during a warm-up, while Mikey Johnston has a minor setback.
The Edinburgh side booked their place in the semi-final draw.
Celtic won 3-0 to move into the semi-finals of the League Cup.
The Hibs owner hopes a new strategic review can help grow the game.
The Livi boss is preparing for a third demanding game in seven days.
The Tynecastle side adapted their tactics in Michael Smith's absence.
Police are investigating the incident which took place during Dundee's defeat in the Premier Sports Cup.
Callum McGregor signs new long-term Celtic contract
