Despite having the majority of chances, Linby fell to a narrow defeat in their last home match of the campaign.
Ash Bernard and Zach Hamilton saw first-half efforts cleared off the line before the visitors took the lead on Issac Nkumrah on 35 mins.
Dynamos keeper Tom Cox made two great saves late in the second half to foil Bernard and deny Linby the point they deserved.
Linby were also denied what looked a certain penalty for a foul on Josh Wass.
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With only one away match left, next Saturday at Melbourne Dynamo to play, Linby could possibly achieve a third place finish in the league.
