You said you entered your W-2's. This indicates that you have multiple incomes. Each company calculates the Social Security independently. There is a cap on the maximum you can contribute.
If your combined Social Security Wages (BOX 3 of your W-2's) exceeds $132,900. Then you did overpay.
**Mark the post that answers your question by clicking on "Mark as Best Answer"
Or are you married? You have to enter each W2 under the right name or it will look like one person went over the max.
There are 2 different situations when it will say Employer may have paid too much Social Security. It's saying either 1 employer took out too much SS -OR- that you paid too much SS because you had more than 1 employer. This should cover both.
More than 1 Employer:
For 2019, If you had more than one employer and the total of box 4 (only box 4 not box 6) on all your 2019 W2s for Social Security is more than $8,239.80 you get the excess back on your tax return. And it is for each spouse separately, not combined. Check 1040 schedule 3 line 11 for it. Then schedule 3 goes to 1040 Line 18d. If only one employer took out more than $8,239.80 you have to get the difference back from that employer and get a corrected W2 form.
Check boxes 3 & 4 on your W2. Box 4 should be 6.2% of box 3 up to a max of $8,239.80. So take the amount in box 3 and multiply it by .062. If box 4 is more than that you need to get a corrected W2 from your employer. But also go back and double check your W2 entries, you may have entered box 3 & 4 wrong. A lot of people who have asked this found they did enter an amount wrong.
Or check W2 box 12. You may have entered Code A by mistake.
A sure way to fix this is to delete the W2 and re-enter it. That may clear something out.