Councillors will discuss the proposal at a meeting on 13 February. HJ Enthoven, a local firm, have agreed to pay for the cost of the signs, which will be £25,000.
The signs are set to be installed by May, with one set close to the Square and Compass on Station Road, one set on Oldfield Lane and another on the B5057 close to the Three Stags.
As a lorry approaches any of the signs a warning will flash on the other signs to warn other traffic that an HGV will shortly be on the bridge. When the signs stop flashing, drivers will know that it is safe to proceed.
An area for HGVs to pass each other on Oldfield Lane will be created, from land donated by HJ Enthovens.
Cabinet Member for Highways, Transport and Infrastructure, Councillor Simon Spencer, said:
“I am looking forward to discussing this issue at the meeting, and am grateful to HJ Enthovens for their financial support for this project – it is most helpful.
“If the report is agreed we will order the signs and they will be installed and working by May.”