Dr Georgina Brown, of Glasgow LMC, said the board backed down thanks to 'political pressure and mass GP action'.
NHS Glasgow and Clyde had planned to move health visitors into social work teams. But the move brought thousands of complaints.
RCGP Scotland warned that the scheme would undermine child protection and the detection of post-natal depression.
NHS Glasgow has now scrapped the scheme, and is consulting on alternatives.
The LMC still intends to present a petition to the Scottish parliament this week.
Dr Brown said that the LMC had 'no intention of giving up the fight until we have reassurances in black and white'.
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