Am I able to switch types of brith control for one month then go back to my old one?

Hello,

I was wondering if it would be effective for me to switch from Low-Ogestrel 28 to Loestrin24FE for only one month and then return to Low-Ogestrel.  I just switched insurance and could not get a doctor's appt. until after I have already missed a month.  Because I don't have a new prescription for my birth control, my options are to switch brands for a month or go off the pill.  Will this mess me up, especially because the number of active pills differs?

Thanks