The match was originally scheduled for Saturday but was rearranged because of ICT's Scottish Cup semi-final with Hearts, which the Premiership side won 3-0.
A win for the visitors tonight would see them clinch a play-off place and move above Ayr United into third spot. Morton, in seventh, are looking to pull further away from the relegation zone - they are just a point ahead of Falkirk and two points clear of bottom club Partick Thistle.
Inverness CT have won the last two meetings - 2-1 in December and 1-0 in February.
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