Nick Cushing’s side will host the Swedish champions at the Academy Stadium on either 21 or 22 March before the away leg will take place on either 28 or 29 March.
Should the Blues progress to the last four, they will face either Lyon or Barcelona on 21 or 22 April (home) and 28 or 29 April (away).
A first league title in the 2016 season, which was accompanied by a Continental Tyres Cup and a Champions League debut, clinched the Blues’ second qualification to the competition.
The Blues reached the semi-finals in their maiden campaign, defeating Zvezda Perm, Brondby IF and Fortuna Hjorring before falling to eventual competition winners Lyon. To reach this stage of this year’s competition, they triumphed 6-0 on aggregate against SKN St Polten before defeating LSK Kvinner 7-1 over two legs in the Round of 16.
Linkopings have reached the quarter-finals on three occasions (2011, 2015, 2017) - their best performances in the competition to date. Former Blue Kosovare Asllani rejoined the Swedish side in August.
The Damallsvenskan outfit defeated Apollon Limassol and Sparta Praha to reach this stage.
The final will be held at the Valeriy Lobanovskyi Dynamo Stadium in Kiev, Ukraine on Thursday 24 May 2018.
Ticket information will be revealed in due course.
