More than 200 of the spherical bombs were tested at Loch Striven during World War Two but were never used.
Members of the British Sub-Aqua Club and the Royal Navy will attempt to lift two of them.
The recovered bombs will then be displayed at the de Havilland Aircraft Museum in Hertfordshire and at the Brooklands Museum in Surrey.
The prototype bombs, which were never used operationally, do not contain any explosives.
Highball was the military codename for the weapons, a naval version of the "Upkeep" bouncing bombs used in the Dambusters raid in May 1943.
It was one of five bombs developed by Sir Barnes Wallis and was designed to be used against ships.
Iain Murray, a trustee of the Barnes Wallis Foundation, told the BBC: "The main purpose of developing Highball was to attack the battleship Tirpitz which was moored in the Norwegian fjords.
"Unfortunately it was located in an awkward position so it was difficult to attack using Highball and it was ultimately attacked using midget submarines.
"Subsequently the Highball squadron moved to the Pacific with the intention of attacking Japanese warships, but the war came to an end before that could actually happen."
The bombs will be sent to two English aviation museums after conservation, completing the full set of Barnes Wallis bouncing bombs on public display.
Divers have been working for about seven years to devise a salvage plan since first surveying the loch. They will be helped by the Royal Navy, who are providing a ship and a crane for the lift.
The British Sub-Aqua Club is sending divers from Cheshire, Tyneside, Dundee, Cannock, London and Swindon.
Lindsay Brown, a member of the Dundee Sub-Aqua Club who is taking part in the salvage operation, said: "They're of an an age, of a technological innovation, that we'll possibly never see again.
"I feel that it shouldn't just be divers that are allowed to see these objects so I'm really glad that we're bringing a couple up so that other people have the chance to see part of our brilliant history."
A team of divers is planning to recover two historic Highball bouncing bombs from a loch in Argyll.