The League One champions will provide the opposition at Lochburn Park, Maryhill, on Wednesday 8 July with a 7pm kick-off.
BSC finished ninth in the Lowland League this term and currently count former Cappielow midfielder Tony Wallace amongst their playing squad.
Morton development squad striker Aidan Ferris also spent the first half of last season on loan at Broomhill, scoring five goals in eight appearances.
A post on the BSC website said: “BSC Glasgow are delighted to announce that we will welcome League One champions Morton to Lochburn Park for a pre-season friendly on Wednesday July 8.
“Cappielow boss Jim Duffy once starred for our ground-sharing partners Maryhill Juniors and is happy to reinforce the links between Ton and BSC by bringing his squad — who will grace the Championship next season — to face us as we gear up for season two in the Lowland League.” l Meanwhile, the SPFL have confirmed that the 2015-16 season will commence on Saturday 25 July with the first round of the Petrofac Cup.
The first round of the League Cup will be played the following Saturday, 1 August, while Ton’s Championship campaign will kick-off on Saturday 8 August.
The dates of the cup draws will be announced in due course and the league fixtures are expected to be released in June.
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