Assistant coach Paul McKinlay said: "I think it's one of the biggest draws, if not the biggest.''

Auchinleck won the Junior Cup in 2006 when the two clubs were due to meet in the quarter-finals.

But United were kicked out by the SFA when they fielded un-registered players in the previous round following an administrative bungle.

McKinlay added: "Bo'ness and Auchinleck are two of the biggest teams in the Scottish Cup so I think it'll be a good game."

Whitburn, who knocked Linlithgow Rose out of the competition in the second round, have been drawn away to Bellshill.

The full draw is:

Kilsyth v Blantyre, Kilbirnie v Pollok, St Rochs v Montrose, Beith v Hillhead, Blackburn v Lanark, Broxburn v Thorniewood, Craigmark v Girvan, Petershill v Turriff, Ballingry v Bonnyrigg;

Hurlford v Ashfield, Dunipace v Yoker, Dundee Violet v Lossiemouth Utd, Shotts v Maud, Bellshill v Whitburn, Cambuslang v Irvine Meadow, Glenafton/Dalry v Annbank, Coupar Angus v St Anthonys;

Jeanfield v Dyce, Penicuik v Kilwinning, Tayport v Carnoustie, Newtongrange v Benburb, Maryhill v Sunnybank, Lochee United v Arthurlie, Kirkcaldy v Thornton, Maybole v Dalkeith, Kirkintilloch Rob Roy v Haddington;

Edinburgh v Carluke, Stoneywood v Camelon, Kirrie Thistle v Glenrothes, Bo'ness v Auchinleck, Neilston v Larkhall.

The ties will be played on November 29 with a 1.45pm kick-off.