Here's how to workaround with Illustrator CC.
First, save file as SVG tiny 1.2 format.
Secondly, open saved SVG file with text editor and it will be looking like this.
<?xml version="1.0" encoding="utf-8"?>
<!-- Generator: Adobe Illustrator 19.0.0, SVG Export Plug-In . SVG Version: 6.00 Build 0) -->
<svg version="1.2" baseProfile="tiny" id="svg2993" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"
x="0px" y="0px" viewBox="-270 373.9 53.1 94" xml:space="preserve">
...
That svg tag is missing width and height attributes.
Third, add them manually like this.
<svg version="1.2" baseProfile="tiny" id="svg2993" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"
x="0px" y="0px" width="53.1px" height="94px" viewBox="-270 373.9 53.1 94" xml:space="preserve">
viewBox attribute's last two values are exactly width and height as pixels.
Finally, save it and load with fritzing.