Firstly, Root Canal Treatment is not the only was to treat sensitivity. It depends on how long have you been feeling sensitivity. It may be due to other causes like tooth wear or acid erosion.
Secondly, in case you need a root canal treatment, delaying it by a month would make your tooth weaker. Root canal treatments are now done in a single visit, in an hour to be specific, and painlessly.
Next Steps
Consult a dentist to assess the cause and severity of sensitivity and the right treatment option for you