Rio 2016 medallists Daryll Neita (hamstring) and Desiree Henry (knee) have both picked up knocks, as have squad members Ashleigh Nelson and Imani Lansiquot (both hamstring), and have withdrawn from the competition in Nassau, which takes place on April 22 and 23.
Performance director for British Athletics, Neil Black, said the team would not take unnecessary risks, with home nation status already guaranteeing the British team qualification at the World Athletics Championships in London later this year.
"Across the entire team we are taking the World Relays incredibly seriously, but with three of our 4x100m strike four runners from Rio, plus Ashleigh and Imani, all showing signs of minor injury concerns we have to look at the big picture," he said.
"As the home nation, we are already assured of qualification for the World Championships in London this summer, so there is no need to take any unnecessary risks.
"2017 is an even bigger year for us than 2016, so all our decisions are made with a long term view of having our top athletes fit and competing to win medals in front of a home crowd in London."
Read the original article on Eurosport: Great Britain women's 4x100m team withdraw from World Relay Championships