Fordingbridge Town Council’s amenities committee held an extraordinary meeting last month to consider the proposal.
This comes after the proximity of the play area to the river was flagged up in a Royal Society for the Prevention of Accidents (RoSPA) report.
Councillor Diane Paton said: “It is an expense we can do without and I can also see no advantage to it. I think it is actually putting people nearer the river. It is the area where the ducks are and the kids like to feed the ducks and to have dogs there is wrong.”
However, Councillor Paul Anstey admitted there was a “dog issue to it” but pointed out the accessibility to the river embankment by children in the play area was deemed a medium risk by RoSPA and the movement of the fence was to put a “physical barrier” in place.