A change to Sunfire please

So, here's a thought and a question. Question first. Ever just played a tank and started to take turret, but then your lane opponent walks next to you while you have a Sunfire, and then your dead because tower started attacking you? Yeah, can we please get a change to Sunfire mechanics to prevent this? Something that just adds some quality of life, like "Burn effect will only damage champions and monsters if attacked." That would be the best. Because currently it is forbidden to build Mobi + Sunfire and walk anywhere in the jungle.