| 1 | Tue 14 Aug 2018 | 11-2 v DumbartonDumbarton 2-1 Greenock Morton | IRN-BRU Cup First Round |
| 2 | Tue 30 Oct 2018 | 12-1 v Queen of the SouthQueen of the South 1-2 Greenock Morton | Ladbrokes Championship |
| 3 | Sat 3 Nov 2018 | 15-1 v Partick ThistleGreenock Morton 5-1 Partick Thistle | Ladbrokes Championship |
| 4 | Sat 10 Nov 2018 | 10-2 v Alloa AthleticGreenock Morton 0-2 Alloa Athletic | Ladbrokes Championship |
| 5 | Sat 17 Nov 2018 | 10-0 v Ayr UnitedAyr United 0-0 Greenock Morton | Ladbrokes Championship |
| 6 | Sat 24 Nov 2018 | 11-1 v PeterheadGreenock Morton 1-1 Peterhead | William Hill Scottish Cup Third Round |
| 7 | Tue 27 Nov 2018 | 13-0 v PeterheadPeterhead 0-3 Greenock Morton | William Hill Scottish Cup Third Round Replay |
| 8 | Sat 1 Dec 2018 | 10-3 v Dunfermline AthleticDunfermline Athletic 3-0 Greenock Morton | Ladbrokes Championship |
| 9 | Sat 8 Dec 2018 | 11-1 v Dundee UnitedGreenock Morton 1-1 Dundee United | Ladbrokes Championship |
| 10 | Sat 15 Dec 2018 | 10-0 v FalkirkFalkirk 0-0 Greenock Morton | Ladbrokes Championship |
| 11 | Sat 22 Dec 2018 | 11-2 v Inverness Caledonian ThistleGreenock Morton 1-2 Inverness Caledonian Thistle | Ladbrokes Championship |
| 12 | Sat 29 Dec 2018 | 12-1 v Partick ThistlePartick Thistle 1-2 Greenock Morton | Ladbrokes Championship |
| 13 | Fri 4 Jan 2019 | 11-0 v Ross CountyGreenock Morton 1-0 Ross County | Ladbrokes Championship |
| 14 | Sat 19 Jan 2019 | 11-2 v East FifeEast Fife 2-1 Greenock Morton | William Hill Scottish Cup Fourth Round |
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