However, it may not be the best time to meet the south-coast side, who despatched Blackburn in the Carling Cup last week, before demolishing Doncaster 5-0 at the weekend.
And Shrewsbury have only two wins this season, although both have come at the Gay Meadow.
This year, Salop have been placed in the Southern Section of the draw, having previously been in the Northern sector. The scenario means Town avoid long hauls to Carlisle and Scunthorpe, in exchange for Exeter and Torquay. The top team in the competition, Luton, are also in Town's side of the draw.
Town boss Jimmy Quinn is without consistent defender Trevor Challis and loanee John McGrath for the cup clash. Challis has bruised ribs and Doncaster have asked that McGrath doesn't play.
Town travel to Wycombe on Saturday and should see the duo return, along with Sam Aiston, who completes a suspension tonight.