Will my teeth move after having my braces off for one month without retainers?

My dentist wants my braces removed for a month without using retainers. He wants to fill in a cavity that I have between my teeth and he says I need my braces removed. I remove my braces for a month, will my teeth move or will they stay in the position they are? I will have my braces back on after the month ends. I have had my braces on for almost three years.

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