Councils were making “unprecedented efforts” to prepare for the winter, with a fleet of more than 3,300 gritters already mobilised, the LGA said.
But the fact that councils were still waiting for salt deliveries was “going to make a challenging time of year even more difficult,” said LGA economy and transport board chairman Councillor Peter Box.
He added that councils had stockpiled significantly more salt than in previous years and that many councils had bought new gritting vehicles.
In addition, 91% of councils in England and Wales would be providing regular online updates on their websites and nearly 25% would be using Twitter.
Mr Box said: “Councils are leaving nothing to chance. Gritters will be on call to operate around the clock, seven days a week on treacherous roads in freezing conditions to ensure that schools remain open, businesses keep running and emergency services can continue saving lives.
“There will be no room for complacency in the weeks ahead. The fact that many councils are still waiting for salt to be delivered at this late stage is undoubtedly going to make a challenging time of year even more difficult.
“While this is not ideal, councils have responded by setting up arrangements with neighbouring areas to share supplies. A few have had to look overseas to get their salt. The co-operation and help of residents everywhere is also going to be vital.”