The answer is based on your individual tax situation.
You will received a Form 1099R that will be used to report the inherited 401(k) income and the withholding you mentioned. Once the 401(k) income is added to the other income on your tax return, the total tax will be determined after allowable deductions, exemptions and/or credits.
The withholding from this income, along with any other withholding such as from a W2 will be added together to determine if enough tax was paid in for you and whether you have a refund.
