It depends. If you are looking to have a refund, you likely need to each claim single on your W-4 (not your tax return), so that each company withholds enough tax.
What happens is this: Married and zero on the W-4 works under the assumption that the individual with the income is the only earner in the family. When this is not the case, and especially when the income starts reaching other tax brackets (25%), it is very likely that not enough tax is taken out when combined with the other spouse's income. Since both of you are claiming married and zero, this is almost surely what is happening on your return, especially if you do not have access to credits and deductions (no children, for example).
By claiming single (1 or zero allowances), you will make up for this. More tax is taken out, because now the assumption is you are filing single, so that the tax withholdings compensate for the possibility that your (or your husband's) income will get into the higher tax brackets, and you'll be protected. Another option is to stay with the Married Zero, but to have an additional amount withheld. All of those options are available on the W-4 form.
This FAQ gives more information on how TurboTax can assist you to plan for next year: https://ttlc.intuit.com/replies/3301783
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