Former international Weir, 48, has been raising funds for research into the status and was diagnosed with motor neurone disease in 2017.
“it is a really positive gesture” said a Scottish Rugby spokesman.
“It shows how much respect the Scotland players have for Doddie, just how far he’s motivated them and just how much affection they have for him.”
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Weir, who made 61 appearances in the dark blue of his nation, was honoured in Cardiff when Wales and Scotland competed for the Doddie Weir Cup.
Both national sides had faced criticism for not contributing from its profits to his MND charity prior to the game, prior to committing to some”six-figure” donation.
Throughout the autumn internationals the former Newcastle Falcons lock has been present during the house Tests of Scotland and has been throughout the previous month across the Scotland camp.