The Sevilla forward pulled up with the issue during a training session on Sunday and subsequently underwent a scan on the complaint.
Colombia's medical team have now determined that Bacca could be unavailable for up to 10 days, meaning that he is a major doubt for Colombia's final Group C clashes against Cote d'Ivoire and Japan.
"After the assessments made by the Colombia medical staff, led by Dr Carlos Ulloa, it was determined that Carlos Bacca suffered a grade one muscle injury, which requires a treatment period of seven to 10 days," the Colombian Football Federation wrote on its official website.
With Monaco striker Radamel Falcao having failed to recover from a serious knee injury in time for the World Cup, Bacca's injury further depletes Colombia's options up front.
However, River Plate forward Teofilo Gutierrez was among the scorers in Colombia's 3-0 triumph over Greece in their Group C opener last Saturday, while Jackson Martinez and Adrian Ramos are also available to coach Jose Pekerman.