The draw offers Alex Rae’s men, who have yet to taste defeat after five First Division games, the chance to gauge their improved form against the current SPL champions.

And, with a bumper crowd likely, it’ll give the Dark Blues an early-season cash injection.

Dundee United, meanwhile, will have to get past Falkirk if they are to make the last eight.

Craig Levein’s men won 2-0 at Tannadice against the Bairns on Saturday, but the cup draw sees them head for the Falkirk Stadium.

Dave Baikie’s East Fife got just reward for their fine victory at St Mirren in the last round, with the Fifers handed a home tie against Walter Smith’s Rangers.

Holders Hibs entertain Motherwell, Hearts welcome Dunfermline, while Craig Brewster’s Caley Thistle will fancy their chances at home to Gretna.

Full draw — Inverness CT v. Gretna, East Fife v. Rangers, Falkirk v. Dundee United, Dundee v. Celtic, Hearts v. Dunfermline, Hamilton v. Kilmarnock, Hibs v. Motherwell, Partick Thistle v. Aberdeen. Ties on September 25/26.