If you entered incorrect information for your year-end tax information, it can be easily corrected with cooperation from your customer.
Most companies will file your Form 1099 by the end of January for the previous year of tax filing (e.g., filing in January 2020 for the 2019 calendar year). Your customer has until the end of February to file your Form 1099 to the with the IRS, and if needed that deadline can be extended to March 31 for forms that are filed electronically.
If you are aware of a needed correction, you may be able to notify the reporting company before the Form 1099 is sent to the IRS.
If your Form 1099 was already filed by your customer and received by the IRS, then the next step is to request that your customer files a corrected form.
For reference, the standard Form 1099 includes a box that can be checked by your customer to indicate an amendment.