False. While you can do the backdoor IRA, if you already have pre-tax money in one or more IRAs a portion of the amount converted will be taxable. Rough Example: You have $45,000 in a pre-tax IRAs from the days when you were able to make tax-deductible IRA contributions. Now, on Tuesday, you make a non-deductible contribution to a separate IRA of $5,000, then on Wednesday you convert that IRA to a Roth. You can do that, but only $500 will be tax-free, and $4,500 will be taxable.