The Australian, who won Fleche-Wallonne in 2010, was forced to withdraw from Sunday's Amstel Gold Race due to the condition.
BMC chief medical officer Max Testa said the defending Tour de France champion will return home to help speed up his recovery.
"Cadel has the Tour of Romandie coming in one week and with this infection, we don't want to take any risks," he said.
"The weather won't be helpful – it's going to be rainy and cold – so it was probably the best decision we could make in the interest of the health of the rider."
Directeur Sportif John Lelangue said Evans' absence does not affect the BMC's approach to either race.
"We still have a good field around Philippe Gilbert and Greg Van Avermaet to make two good Ardennes races," Lelangue said.
"Cadel was coming here with the objective to help them. That was always the plan. We know his main objective is in a few months in July. Therefore he has to make a good Tour of Romandie. It will be a good test in real stage race conditions – with a time trial, prologue and mountain stages."