Holders Rangers will face Boroughmuir Thistle, while Celtic have been drawn against Scottish Women's Premier League champions Glasgow City in the Sky Sports Cup quarter-finals.
Last season's runners-up Hibernian will come up against Dundee United and Partick Thistle face Montrose as they battle for a spot in the last four.
Rangers won the Sky Sports Cup last season with a 2-0 victory over Hibs at Tynecastle Park thanks to a wonder strike from Lizzie Arnot and a second from Kirsty Howat.
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- Scottish Women's Premier League table | Fixtures | Results
- Celtic go top after Cavanagh's late winner sees off Glasgow City
SWPL managing director Fiona McIntyre said: "We're delighted to be supporting Scottish Women and Girls in Sport Week and the Scottish Government's efforts to encourage participation across the country.
"Having played and with two young daughters, I know the importance and benefits of sport both and off the field.
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"This week is also about increasing visibility and that's supported by our partners Sky Sports with the draw live on Sky Sports News ahead of the match between Celtic and Glasgow City live on Sky Sports Football."
The Sky Sports Cup quarter-final draw:
- Celtic v Glasgow City
- Hibernian v Dundee United
- Partick Thistle v Montrose
- Rangers v Boroughmuir Thistle
Scottish Premiership and SWPL on Sky Sports
Sky Sports - This season up to 48 cinch Premiership games will be available across Sky Sports' flagship channels, including Sky Sports Football and Sky Sports Main Event, plus at least five SWPL matches. From 2024/25, up to 60 cinch Premiership will be live on Sky Sports, in addition to the SWPL.
Sky Sports News - Running 24 hours a day, seven days a week, Scottish football fans can enjoy Sky Sports News' (channel 409) rolling editorial coverage of the cinch Premiership and SWPL throughout the season.
Sky Sports Digital - Follow all the latest from Scottish football across SkySports.com and app, including exclusive features and interviews, plus dedicated live blog coverage, in-game clips from matches live on Sky Sports and free highlights.
Sky Sports Social - Alongside coverage and visibility for the league across all Sky Sports' main social media channels, the bespoke Twitter channel @ScotlandSky will continue to be the home of all Scottish football content on Sky Sports.
Highlights show - Tune in for a dedicated round-up from the cinch Premiership every week on Sky Sports Football.
To download the Sky Sports app click here, to visit Sky Sports website click here.
Sky Sports is the home of domestic football in the UK and Ireland, with action from the Scottish Premiership, Scottish Women's Premier League, Premier League, WSL, EFL, and more.