The Old Firm have been kept apart in the draw for the semi-finals of the Co-operative Insurance Cup.
Holders Rangers will line up against Falkirk on Tuesday 27 January.
Celtic face Dundee United on Wednesday 28 January with the match being broadcast live on BBC One Scotland and the BBC Sport website.
The draw took place at the Scottish Parliament, where last year the Presiding Officer Alex Ferguson miscalled the ties.
There could be a repeat of last season's final, which Rangers won on penalties after Kris Boyd twice equalised against United in a 2-2 draw.
United last won the tournament in 1981 when they beat city rivals Dundee to retain the silverware.
Falkirk are in their second semi-final in three years having lost 3-0 to Kilmarnock at Fir Park in their previous encounter.
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