Highland MSP Kate Forbes is behind the call for a ban to address the environmental impact of plastic pollution.
But The One in Five campaign group says many alternatives to single use plastic straws are not suitable for disabled people.
One in Five founder Jamie Szymkowiak said: "Businesses are understandably responding to environmental concerns but in reacting so quickly the needs of their disabled customers risks becoming an afterthought.
A letter from the campaign group warns that most paper and plant-based alternatives are not flexible or suitable for drinks over 40C, therefore increases the risks of choking.
It adds: "Metal straws can be dangerous for people with neurological conditions such as Parkinson's whereas reusable plastic straws present hygiene concerns to people with specific health conditions."
Ms Forbes has previously said alternatives will need to be in place before plastic straw are entirely scrapped.
One in Five ask in the letter that the "campaign pauses until it is in a position to offer the advice and support companies are looking for".
Ms Forbes said: "I recognise that there are some people who need to use a straw and indeed I have a family member with a disability and therefore I understand the concerns of One in Five on a first-hand basis.
"No change to the law or business practices should put greater burdens on people with disabilities or those who need to use a straw. That's why I have offered to meet with representatives of One in Five again today.
"As recently as last week in the Scottish Parliament, I made clear that alternatives to plastic straws must be readily and easily available."