If you are on social security disability, it is almost always higher than the regular social security especially at age 62, lower than the full retirement age. Once you turn at full retirement age, the social security disability payment will become regular social security. But the amount will not reduce. There is no need to hurry the process. You may want to verify with the SSA any way.
Below quotation and website links are for your reference.
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Fiona Chen, MPA, Ph.D., CPA, ABV, CFF, CITP
"Social Security disability benefits automatically change to retirement benefits when disability beneficiaries become full retirement age. The law does not allow a person to receive both retirement and disability benefits on one earnings record at the same time."