I included the svg as a base64 string directly into the css file. This solved my problem.
filter:url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjAiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyI+PGZpbHRlciBpZD0ic3ZnQmx1ciI+PGZlR2F1c3NpYW5CbHVyIGluPSJTb3VyY2VHcmFwaGljIiBzdGREZXZpYXRpb249IjgiLz48L2ZpbHRlcj48L3N2Zz4=#svgBlur)