For rivals Glentoran (Northern Ireland and HB Torshavn (Faroe Islands) will battle it out (kick-off 7pm) to see who progresses to face the Steelmen.
The one off tie will be played to a finish, with extra time and penalties if necessary.
Meanwhile, ’Well boss Stephen Robinson reckons his side showed they were slowly getting back to their best in Saturday’s frustrating 0-0 Scottish Premiership draw at Hibernian.
But, when asked if he was happy to only draw a game his team dominated, Robbo said: “I couldn’t have been any worse!
“Sometimes young players think what happened last year will just happen again without that extra percentage and we just reminded them of that.
“Jordan White and Callum Lang were very good, Langy will get better and better.
“My back four today, Stephen O’Donnell is a class act, and to deal with Martin Boyle like we did, he’s one of the best players in the league and we didn’t give him a sniff.”